2(x+2)(x+9)=0

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Solution for 2(x+2)(x+9)=0 equation:


Simplifying
2(x + 2)(x + 9) = 0

Reorder the terms:
2(2 + x)(x + 9) = 0

Reorder the terms:
2(2 + x)(9 + x) = 0

Multiply (2 + x) * (9 + x)
2(2(9 + x) + x(9 + x)) = 0
2((9 * 2 + x * 2) + x(9 + x)) = 0
2((18 + 2x) + x(9 + x)) = 0
2(18 + 2x + (9 * x + x * x)) = 0
2(18 + 2x + (9x + x2)) = 0

Combine like terms: 2x + 9x = 11x
2(18 + 11x + x2) = 0
(18 * 2 + 11x * 2 + x2 * 2) = 0
(36 + 22x + 2x2) = 0

Solving
36 + 22x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 11x + x2) = 0

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

Ignore the factor 2.

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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