-2x^2-8x-15=-7

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Solution for -2x^2-8x-15=-7 equation:


Simplifying
-2x2 + -8x + -15 = -7

Reorder the terms:
-15 + -8x + -2x2 = -7

Solving
-15 + -8x + -2x2 = -7

Solving for variable 'x'.

Reorder the terms:
-15 + 7 + -8x + -2x2 = -7 + 7

Combine like terms: -15 + 7 = -8
-8 + -8x + -2x2 = -7 + 7

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

Factor out the Greatest Common Factor (GCF), '-2'.
-2(4 + 4x + x2) = 0

Factor a trinomial.
-2((2 + x)(2 + x)) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-2, -2}

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