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Simplifying (5x + 5)(x + -3) = 0 Reorder the terms: (5 + 5x)(x + -3) = 0 Reorder the terms: (5 + 5x)(-3 + x) = 0 Multiply (5 + 5x) * (-3 + x) (5(-3 + x) + 5x * (-3 + x)) = 0 ((-3 * 5 + x * 5) + 5x * (-3 + x)) = 0 ((-15 + 5x) + 5x * (-3 + x)) = 0 (-15 + 5x + (-3 * 5x + x * 5x)) = 0 (-15 + 5x + (-15x + 5x2)) = 0 Combine like terms: 5x + -15x = -10x (-15 + -10x + 5x2) = 0 Solving -15 + -10x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -2x + x2) = 0 Factor a trinomial. 5((-1 + -1x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-1, 3}
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