5(x^2+11x+18)=0

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Solution for 5(x^2+11x+18)=0 equation:


Simplifying
5(x2 + 11x + 18) = 0

Reorder the terms:
5(18 + 11x + x2) = 0
(18 * 5 + 11x * 5 + x2 * 5) = 0
(90 + 55x + 5x2) = 0

Solving
90 + 55x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(18 + 11x + x2) = 0

Factor a trinomial.
5((9 + x)(2 + x)) = 0

Ignore the factor 5.

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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