-2x^2-8x-7=-2x-7

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Solution for -2x^2-8x-7=-2x-7 equation: 


Simplifying
-2x2 + -8x + -7 = -2x + -7

Reorder the terms:
-7 + -8x + -2x2 = -2x + -7

Reorder the terms:
-7 + -8x + -2x2 = -7 + -2x

Add '7' to each side of the equation.
-7 + -8x + 7 + -2x2 = -7 + 7 + -2x

Reorder the terms:
-7 + 7 + -8x + -2x2 = -7 + 7 + -2x

Combine like terms: -7 + 7 = 0
0 + -8x + -2x2 = -7 + 7 + -2x
-8x + -2x2 = -7 + 7 + -2x

Combine like terms: -7 + 7 = 0
-8x + -2x2 = 0 + -2x
-8x + -2x2 = -2x

Solving
-8x + -2x2 = -2x

Solving for variable 'x'.

Reorder the terms:
-8x + 2x + -2x2 = -2x + 2x

Combine like terms: -8x + 2x = -6x
-6x + -2x2 = -2x + 2x

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

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(3 + x) = 0

Ignore the factor -2.

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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}

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