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Simplifying 5(x + 6)(x + 2) = 0 Reorder the terms: 5(6 + x)(x + 2) = 0 Reorder the terms: 5(6 + x)(2 + x) = 0 Multiply (6 + x) * (2 + x) 5(6(2 + x) + x(2 + x)) = 0 5((2 * 6 + x * 6) + x(2 + x)) = 0 5((12 + 6x) + x(2 + x)) = 0 5(12 + 6x + (2 * x + x * x)) = 0 5(12 + 6x + (2x + x2)) = 0 Combine like terms: 6x + 2x = 8x 5(12 + 8x + x2) = 0 (12 * 5 + 8x * 5 + x2 * 5) = 0 (60 + 40x + 5x2) = 0 Solving 60 + 40x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(12 + 8x + x2) = 0 Factor a trinomial. 5((6 + x)(2 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = -2Solution
x = {-6, -2}
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