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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 = 4x 5(-12 + 4x + x2) = 0 (-12 * 5 + 4x * 5 + x2 * 5) = 0 (-60 + 20x + 5x2) = 0 Solving -60 + 20x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + 4x + x2) = 0 Factor a trinomial. 5((-6 + -1x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-6, 2}
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