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 (6-6k)/(3k-1)+(6-4k)/(2k+1) = -4 .
    Question type: Equation
    Solution:Original question:
     (66 k ) ÷ (3 k 1) + (64 k ) ÷ (2 k + 1) = - 4
     Multiply both sides of the equation by:(3 k 1)
     (66 k ) + (64 k ) ÷ (2 k + 1) × (3 k 1) = - 4(3 k 1)
    Remove a bracket on the left of the equation::
     66 k + (64 k ) ÷ (2 k + 1) × (3 k 1) = - 4(3 k 1)
    Remove a bracket on the right of the equation::
     66 k + (64 k ) ÷ (2 k + 1) × (3 k 1) = - 4 × 3 k + 4 × 1
    The equation is reduced to :
     66 k + (64 k ) ÷ (2 k + 1) × (3 k 1) = - 12 k + 4
     Multiply both sides of the equation by:(2 k + 1)
     6(2 k + 1)6 k (2 k + 1) + (64 k )(3 k 1) = - 12 k (2 k + 1) + 4(2 k + 1)
    Remove a bracket on the left of the equation:
     6 × 2 k + 6 × 16 k (2 k + 1) + (64 k )(3 k 1) = - 12 k (2 k + 1) + 4(2 k + 1)
    Remove a bracket on the right of the equation::
     6 × 2 k + 6 × 16 k (2 k + 1) + (64 k )(3 k 1) = - 12 k × 2 k 12 k × 1 + 4(2 k + 1)
    The equation is reduced to :
     12 k + 66 k (2 k + 1) + (64 k )(3 k 1) = - 24 k k 12 k + 4(2 k + 1)
    Remove a bracket on the left of the equation:
     12 k + 66 k × 2 k 6 k × 1 + (64 k )(3 k 1) = - 24 k k 12 k + 4(2 k + 1)
    Remove a bracket on the right of the equation::
     12 k + 66 k × 2 k 6 k × 1 + (64 k )(3 k 1) = - 24 k k 12 k + 4 × 2 k + 4 × 1
    The equation is reduced to :
     12 k + 612 k k 6 k + (64 k )(3 k 1) = - 24 k k 12 k + 8 k + 4
    The equation is reduced to :
     6 k + 612 k k + (64 k )(3 k 1) = - 24 k k 4 k + 4
    Remove a bracket on the left of the equation:
     6 k + 612 k k + 6(3 k 1)4 k (3 k 1) = - 24 k k 4 k + 4
    Remove a bracket on the left of the equation:
     6 k + 612 k k + 6 × 3 k 6 × 14 = - 24 k k 4 k + 4
    The equation is reduced to :
     6 k + 612 k k + 18 k 64 k (3 k 1) = - 24 k k 4 k + 4
    The equation is reduced to :
     24 k + 012 k k 4 k (3 k 1) = - 24 k k 4 k + 4
    Remove a bracket on the left of the equation:
     24 k 12 k k 4 k × 3 k + 4 k × 1 = - 24 k k 4 k + 4
    The equation is reduced to :
     24 k 12 k k 12 k k + 4 k = - 24 k k 4 k + 4
    The equation is reduced to :
     28 k 12 k k 12 k k = - 24 k k 4 k + 4

    the solutions is:
        k1=
1
8
    
    There are 1 solution(s).


解方程的详细方法请参阅:《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。