x(x+9)=-2(x+9)

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Solution for x(x+9)=-2(x+9) equation:


Simplifying
x(x + 9) = -2(x + 9)

Reorder the terms:
x(9 + x) = -2(x + 9)
(9 * x + x * x) = -2(x + 9)
(9x + x2) = -2(x + 9)

Reorder the terms:
9x + x2 = -2(9 + x)
9x + x2 = (9 * -2 + x * -2)
9x + x2 = (-18 + -2x)

Solving
9x + x2 = -18 + -2x

Solving for variable 'x'.

Reorder the terms:
18 + 9x + 2x + x2 = -18 + -2x + 18 + 2x

Combine like terms: 9x + 2x = 11x
18 + 11x + x2 = -18 + -2x + 18 + 2x

Reorder the terms:
18 + 11x + x2 = -18 + 18 + -2x + 2x

Combine like terms: -18 + 18 = 0
18 + 11x + x2 = 0 + -2x + 2x
18 + 11x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
18 + 11x + x2 = 0

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

Subproblem 1

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

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 = {-9, -2}

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