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 (10000-2400)/(x+35.84)+10000/(x+22.4)+10000/(x+22.4)+(10000-2400)/(x+35.84) = 0 .
    Question type: Equation
    Solution:Original question:
     (100002400) ÷ ( x +
896
25
) + 10000 ÷ ( x +
112
5
) + 10000 ÷ ( x +
112
5
) + (100002400) ÷ ( x +
896
25
) = 0
     Multiply both sides of the equation by:( x +
896
25
)
     (100002400) + 10000 ÷ ( x +
112
5
) × ( x +
896
25
) + 10000 ÷ ( x +
112
5
) × ( x +
896
25
) + (100002400) = 0
    Remove a bracket on the left of the equation::
     100002400 + 10000 ÷ ( x +
112
5
) × ( x +
896
25
) + 10000 ÷ ( x +
112
5
) × ( x +
896
25
) + (100002400) = 0
    The equation is reduced to :
     7600 + 10000 ÷ ( x +
112
5
) × ( x +
896
25
) + 10000 ÷ ( x +
112
5
) × ( x +
896
25
) + (100002400) = 0
     Multiply both sides of the equation by:( x +
112
5
)
     7600( x +
112
5
) + 10000( x +
896
25
) + 10000( x +
896
25
) + (100002400)( x +
112
5
) = 0
    Remove a bracket on the left of the equation:
     7600 x + 7600 ×
112
5
+ 10000( x +
896
25
) + 10000( x +
896
25
) + (100002400)( x +
112
5
) = 0
    The equation is reduced to :
     7600 x + 170240 + 10000( x +
896
25
) + 10000( x +
896
25
) + (100002400)( x +
112
5
) = 0
    Remove a bracket on the left of the equation:
     7600 x + 170240 + 10000 x + 10000 ×
896
25
+ 10000( x +
896
25
) + (100002400)( x +
112
5
) = 0
    The equation is reduced to :
     7600 x + 170240 + 10000 x + 358400 + 10000( x +
896
25
) + (100002400)( x +
112
5
) = 0
    The equation is reduced to :
     17600 x + 528640 + 10000( x +
896
25
) + (100002400)( x +
112
5
) = 0
    Remove a bracket on the left of the equation:
     17600 x + 528640 + 10000 x + 10000 ×
896
25
+ (100002400)( x +
112
5
) = 0
    The equation is reduced to :
     17600 x + 528640 + 10000 x + 358400 + (100002400)( x +
112
5
) = 0
    The equation is reduced to :
     27600 x + 887040 + (100002400)( x +
112
5
) = 0
    Remove a bracket on the left of the equation:
     27600 x + 887040 + 10000( x +
112
5
)2400( x +
112
5
) = 0
    Remove a bracket on the left of the equation:
     27600 x + 887040 + 10000 x + 10000 ×
112
5
2400( x +
112
5
) = 0
    The equation is reduced to :
     27600 x + 887040 + 10000 x + 2240002400( x +
112
5
) = 0
    The equation is reduced to :
     37600 x + 11110402400( x +
112
5
) = 0
    Remove a bracket on the left of the equation:
     37600 x + 11110402400 x 2400 ×
112
5
= 0
    The equation is reduced to :
     37600 x + 11110402400 x 53760 = 0
    The equation is reduced to :
     35200 x + 1057280 = 0

    Transposition :
     35200 x = 01057280

    Combine the items on the right of the equation:
     35200 x = - 1057280

    The coefficient of the unknown number is reduced to 1 :
      x = - 1057280 ÷ 35200
        = - 1057280 ×
1
35200
        = - 1652 ×
1
55

    We obtained :
      x = -
1652
55
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 30.036364



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。