(X-1)(138-x)(x+13)=180

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Solution for (X-1)(138-x)(x+13)=180 equation: 


Simplifying
(X + -1)(138 + -1x)(x + 13) = 180

Reorder the terms:
(-1 + X)(138 + -1x)(x + 13) = 180

Reorder the terms:
(-1 + X)(138 + -1x)(13 + x) = 180

Multiply (-1 + X) * (138 + -1x)
(-1(138 + -1x) + X(138 + -1x))(13 + x) = 180
((138 * -1 + -1x * -1) + X(138 + -1x))(13 + x) = 180
((-138 + 1x) + X(138 + -1x))(13 + x) = 180
(-138 + 1x + (138 * X + -1x * X))(13 + x) = 180
(-138 + 1x + (138X + -1xX))(13 + x) = 180

Reorder the terms:
(-138 + 138X + 1x + -1xX)(13 + x) = 180
(-138 + 138X + 1x + -1xX)(13 + x) = 180

Multiply (-138 + 138X + 1x + -1xX) * (13 + x)
(-138(13 + x) + 138X * (13 + x) + 1x * (13 + x) + -1xX * (13 + x)) = 180
((13 * -138 + x * -138) + 138X * (13 + x) + 1x * (13 + x) + -1xX * (13 + x)) = 180
((-1794 + -138x) + 138X * (13 + x) + 1x * (13 + x) + -1xX * (13 + x)) = 180
(-1794 + -138x + (13 * 138X + x * 138X) + 1x * (13 + x) + -1xX * (13 + x)) = 180
(-1794 + -138x + (1794X + 138xX) + 1x * (13 + x) + -1xX * (13 + x)) = 180
(-1794 + -138x + 1794X + 138xX + (13 * 1x + x * 1x) + -1xX * (13 + x)) = 180
(-1794 + -138x + 1794X + 138xX + (13x + 1x2) + -1xX * (13 + x)) = 180
(-1794 + -138x + 1794X + 138xX + 13x + 1x2 + (13 * -1xX + x * -1xX)) = 180
(-1794 + -138x + 1794X + 138xX + 13x + 1x2 + (-13xX + -1x2X)) = 180

Reorder the terms:
(-1794 + 1794X + -138x + 13x + 138xX + -13xX + 1x2 + -1x2X) = 180

Combine like terms: -138x + 13x = -125x
(-1794 + 1794X + -125x + 138xX + -13xX + 1x2 + -1x2X) = 180

Combine like terms: 138xX + -13xX = 125xX
(-1794 + 1794X + -125x + 125xX + 1x2 + -1x2X) = 180

Solving
-1794 + 1794X + -125x + 125xX + 1x2 + -1x2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '1794' to each side of the equation.
-1794 + 1794X + -125x + 125xX + 1x2 + 1794 + -1x2X = 180 + 1794

Reorder the terms:
-1794 + 1794 + 1794X + -125x + 125xX + 1x2 + -1x2X = 180 + 1794

Combine like terms: -1794 + 1794 = 0
0 + 1794X + -125x + 125xX + 1x2 + -1x2X = 180 + 1794
1794X + -125x + 125xX + 1x2 + -1x2X = 180 + 1794

Combine like terms: 180 + 1794 = 1974
1794X + -125x + 125xX + 1x2 + -1x2X = 1974

Add '125x' to each side of the equation.
1794X + -125x + 125xX + 1x2 + 125x + -1x2X = 1974 + 125x

Reorder the terms:
1794X + -125x + 125x + 125xX + 1x2 + -1x2X = 1974 + 125x

Combine like terms: -125x + 125x = 0
1794X + 0 + 125xX + 1x2 + -1x2X = 1974 + 125x
1794X + 125xX + 1x2 + -1x2X = 1974 + 125x

Add '-1x2' to each side of the equation.
1794X + 125xX + 1x2 + -1x2 + -1x2X = 1974 + 125x + -1x2

Combine like terms: 1x2 + -1x2 = 0
1794X + 125xX + 0 + -1x2X = 1974 + 125x + -1x2
1794X + 125xX + -1x2X = 1974 + 125x + -1x2

Reorder the terms:
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = 1974 + 125x + -1x2 + -1974 + -125x + x2

Reorder the terms:
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = 1974 + -1974 + 125x + -125x + -1x2 + x2

Combine like terms: 1974 + -1974 = 0
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = 0 + 125x + -125x + -1x2 + x2
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = 125x + -125x + -1x2 + x2

Combine like terms: 125x + -125x = 0
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = 0 + -1x2 + x2
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1974 + 1794X + -125x + 125xX + x2 + -1x2X = 0

The solution to this equation could not be determined.

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