x^2+2x=-16-6x

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Solution for x^2+2x=-16-6x equation:


Simplifying
x2 + 2x = -16 + -6x

Reorder the terms:
2x + x2 = -16 + -6x

Solving
2x + x2 = -16 + -6x

Solving for variable 'x'.

Reorder the terms:
16 + 2x + 6x + x2 = -16 + -6x + 16 + 6x

Combine like terms: 2x + 6x = 8x
16 + 8x + x2 = -16 + -6x + 16 + 6x

Reorder the terms:
16 + 8x + x2 = -16 + 16 + -6x + 6x

Combine like terms: -16 + 16 = 0
16 + 8x + x2 = 0 + -6x + 6x
16 + 8x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 8x + x2 = 0

Factor a trinomial.
(4 + x)(4 + x) = 0

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-4, -4}

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