(-2x-6)x+15=(x+15)

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Solution for (-2x-6)x+15=(x+15) equation: 


Simplifying
(-2x + -6) * x + 15 = (x + 15)

Reorder the terms:
(-6 + -2x) * x + 15 = (x + 15)

Reorder the terms for easier multiplication:
x(-6 + -2x) + 15 = (x + 15)
(-6 * x + -2x * x) + 15 = (x + 15)
(-6x + -2x2) + 15 = (x + 15)

Reorder the terms:
15 + -6x + -2x2 = (x + 15)

Reorder the terms:
15 + -6x + -2x2 = (15 + x)

Remove parenthesis around (15 + x)
15 + -6x + -2x2 = 15 + x

Add '-15' to each side of the equation.
15 + -6x + -15 + -2x2 = 15 + -15 + x

Reorder the terms:
15 + -15 + -6x + -2x2 = 15 + -15 + x

Combine like terms: 15 + -15 = 0
0 + -6x + -2x2 = 15 + -15 + x
-6x + -2x2 = 15 + -15 + x

Combine like terms: 15 + -15 = 0
-6x + -2x2 = 0 + x
-6x + -2x2 = x

Solving
-6x + -2x2 = x

Solving for variable 'x'.

Reorder the terms:
-6x + -1x + -2x2 = x + -1x

Combine like terms: -6x + -1x = -7x
-7x + -2x2 = x + -1x

Combine like terms: x + -1x = 0
-7x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(7 + 2x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, -3.5}

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