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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 280+60+(23*2*X*0.8)*1 = 10*(10*(7+2*X)*(5.5-0.5)*1)*1.05 .
    Question type: Equation
    Solution:Original question:
     280 + 60 + (23 × 2 X ×
4
5
) × 1 = 10(10(7 + 2 X )(
11
2
1
2
) × 1) ×
21
20
     Left side of the equation = 340 + (23 × 2 X ×
4
5
) × 1
    The equation is transformed into :
     340 + (23 × 2 X ×
4
5
) × 1 = 10(10(7 + 2 X )(
11
2
1
2
) × 1) ×
21
20
    Remove the bracket on the left of the equation:
     Left side of the equation = 340 + 23 × 2 X ×
4
5
× 1
                                             = 340 +
184
5
X
    The equation is transformed into :
     340 +
184
5
X = 10(10(7 + 2 X )(
11
2
1
2
) × 1) ×
21
20
     Right side of the equation =
21
2
(10(7 + 2 X )(
11
2
1
2
) × 1)
    The equation is transformed into :
     340 +
184
5
X =
21
2
(10(7 + 2 X )(
11
2
1
2
) × 1)
    Remove the bracket on the right of the equation:
     Right side of the equation =
21
2
× 10(7 + 2 X )(
11
2
1
2
) × 1
                                               = 105(7 + 2 X )(
11
2
1
2
)
                                               = 105 × 7(
11
2
1
2
) + 105 × 2 X (
11
2
1
2
)
                                               = 735(
11
2
1
2
) + 210 X (
11
2
1
2
)
                                               = 735 ×
11
2
735 ×
1
2
+ 210 X (
11
2
1
2
)
                                               =
8085
2
735
2
+ 210 X (
11
2
1
2
)
                                               = 3675 + 210 X (
11
2
1
2
)
                                               = 3675 + 210 X ×
11
2
210 X ×
1
2
                                               = 3675 + 1155 X 105 X
                                               = 3675 + 1050 X
    The equation is transformed into :
     340 +
184
5
X = 3675 + 1050 X

    Transposition :
     
184
5
X 1050 X = 3675340

    Combine the items on the left of the equation:
      -
5066
5
X = 3675340

    Combine the items on the right of the equation:
      -
5066
5
X = 3335

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 3335 =
5066
5
X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
5066
5
X = - 3335

    The coefficient of the unknown number is reduced to 1 :
      X = - 3335 ÷
5066
5
        = - 3335 ×
5
5066

    We obtained :
      X = -
16675
5066
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 3.291552



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