X+(x+6)*x+(x+6)=112

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Solution for X+(x+6)*x+(x+6)=112 equation:


Simplifying
X + (x + 6) * x + (x + 6) = 112

Reorder the terms:
X + (6 + x) * x + (x + 6) = 112

Reorder the terms for easier multiplication:
X + x(6 + x) + (x + 6) = 112
X + (6 * x + x * x) + (x + 6) = 112
X + (6x + x2) + (x + 6) = 112

Reorder the terms:
X + 6x + x2 + (6 + x) = 112

Remove parenthesis around (6 + x)
X + 6x + x2 + 6 + x = 112

Reorder the terms:
6 + X + 6x + x + x2 = 112

Combine like terms: 6x + x = 7x
6 + X + 7x + x2 = 112

Solving
6 + X + 7x + x2 = 112

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X + 7x + -6 + x2 = 112 + -6

Reorder the terms:
6 + -6 + X + 7x + x2 = 112 + -6

Combine like terms: 6 + -6 = 0
0 + X + 7x + x2 = 112 + -6
X + 7x + x2 = 112 + -6

Combine like terms: 112 + -6 = 106
X + 7x + x2 = 106

Add '-7x' to each side of the equation.
X + 7x + -7x + x2 = 106 + -7x

Combine like terms: 7x + -7x = 0
X + 0 + x2 = 106 + -7x
X + x2 = 106 + -7x

Add '-1x2' to each side of the equation.
X + x2 + -1x2 = 106 + -7x + -1x2

Combine like terms: x2 + -1x2 = 0
X + 0 = 106 + -7x + -1x2
X = 106 + -7x + -1x2

Simplifying
X = 106 + -7x + -1x2

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