2(x+11)(x-5)-x(x+11)=130

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Solution for 2(x+11)(x-5)-x(x+11)=130 equation: 


Simplifying
2(x + 11)(x + -5) + -1x(x + 11) = 130

Reorder the terms:
2(11 + x)(x + -5) + -1x(x + 11) = 130

Reorder the terms:
2(11 + x)(-5 + x) + -1x(x + 11) = 130

Multiply (11 + x) * (-5 + x)
2(11(-5 + x) + x(-5 + x)) + -1x(x + 11) = 130
2((-5 * 11 + x * 11) + x(-5 + x)) + -1x(x + 11) = 130
2((-55 + 11x) + x(-5 + x)) + -1x(x + 11) = 130
2(-55 + 11x + (-5 * x + x * x)) + -1x(x + 11) = 130
2(-55 + 11x + (-5x + x2)) + -1x(x + 11) = 130

Combine like terms: 11x + -5x = 6x
2(-55 + 6x + x2) + -1x(x + 11) = 130
(-55 * 2 + 6x * 2 + x2 * 2) + -1x(x + 11) = 130
(-110 + 12x + 2x2) + -1x(x + 11) = 130

Reorder the terms:
-110 + 12x + 2x2 + -1x(11 + x) = 130
-110 + 12x + 2x2 + (11 * -1x + x * -1x) = 130
-110 + 12x + 2x2 + (-11x + -1x2) = 130

Reorder the terms:
-110 + 12x + -11x + 2x2 + -1x2 = 130

Combine like terms: 12x + -11x = 1x
-110 + 1x + 2x2 + -1x2 = 130

Combine like terms: 2x2 + -1x2 = 1x2
-110 + 1x + 1x2 = 130

Solving
-110 + 1x + 1x2 = 130

Solving for variable 'x'.

Reorder the terms:
-110 + -130 + 1x + 1x2 = 130 + -130

Combine like terms: -110 + -130 = -240
-240 + 1x + 1x2 = 130 + -130

Combine like terms: 130 + -130 = 0
-240 + 1x + 1x2 = 0

Factor a trinomial.
(-16 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-16, 15}

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