Mathematics
         
语言:中文    Language:English
On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (5(366+x)+(81*4)+(3*51)+(2*13)+(1*25)÷(540+x) ) = 4.6 .
    Question type: Equation
    Solution:Original question:
     (5(366 + x ) + (81 × 4) + (3 × 51) + (2 × 13) + (1 × 25) ÷ (540 + x )) =
23
5
    Remove a bracket on the left of the equation::
     5(366 + x ) + (81 × 4) + (3 × 51) + (2 × 13) + (1 × 25) ÷ (540 + x ) =
23
5
     Multiply both sides of the equation by:(540 + x )
     5(366 + x )(540 + x ) + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) + (1 × 25) =
23
5
(540 + x )
    Remove a bracket on the left of the equation:
     5 × 366(540 + x ) + 5 x (540 + x ) + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) =
23
5
(540 + x )
    Remove a bracket on the right of the equation::
     5 × 366(540 + x ) + 5 x (540 + x ) + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) =
23
5
× 540 +
23
5
x
    The equation is reduced to :
     1830(540 + x ) + 5 x (540 + x ) + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) + (1 × 25) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     1830 × 540 + 1830 x + 5 x (540 + x ) + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13) = 2484 +
23
5
x
    The equation is reduced to :
     988200 + 1830 x + 5 x (540 + x ) + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     988200 + 1830 x + 5 x × 540 + 5 x x + (81 × 4)(540 + x ) + (3 × 51) = 2484 +
23
5
x
    The equation is reduced to :
     988200 + 1830 x + 2700 x + 5 x x + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) = 2484 +
23
5
x
    The equation is reduced to :
     988200 + 4530 x + 5 x x + (81 × 4)(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     988200 + 4530 x + 5 x x + 81 × 4(540 + x ) + (3 × 51)(540 + x ) + (2 × 13) = 2484 +
23
5
x
    The equation is reduced to :
     988200 + 4530 x + 5 x x + 324(540 + x ) + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     988200 + 4530 x + 5 x x + 324 × 540 + 324 x + (3 × 51)(540 + x ) = 2484 +
23
5
x
    The equation is reduced to :
     988200 + 4530 x + 5 x x + 174960 + 324 x + (3 × 51)(540 + x ) + (2 × 13) = 2484 +
23
5
x
    The equation is reduced to :
     1163160 + 4854 x + 5 x x + (3 × 51)(540 + x ) + (2 × 13)(540 + x ) + (1 × 25) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     1163160 + 4854 x + 5 x x + 3 × 51(540 + x ) + (2 × 13)(540 + x ) + (1 × 25) = 2484 +
23
5
x
    The equation is reduced to :
     1163160 + 4854 x + 5 x x + 153(540 + x ) + (2 × 13)(540 + x ) + (1 × 25) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     1163160 + 4854 x + 5 x x + 153 × 540 + 153 x + (2 × 13)(540 + x ) = 2484 +
23
5
x
    The equation is reduced to :
     1163160 + 4854 x + 5 x x + 82620 + 153 x + (2 × 13)(540 + x ) + (1 × 25) = 2484 +
23
5
x
    The equation is reduced to :
     1245780 + 5007 x + 5 x x + (2 × 13)(540 + x ) + (1 × 25) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     1245780 + 5007 x + 5 x x + 2 × 13(540 + x ) + (1 × 25) = 2484 +
23
5
x
    The equation is reduced to :
     1245780 + 5007 x + 5 x x + 26(540 + x ) + (1 × 25) = 2484 +
23
5
x
    Remove a bracket on the left of the equation:
     1245780 + 5007 x + 5 x x + 26 × 540 + 26 x + (1 × 25) = 2484 +
23
5
x
    The equation is reduced to :
     1245780 + 5007 x + 5 x x + 14040 + 26 x + (1 × 25) = 2484 +
23
5
x

    
        x≈-465.747338 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。