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Simplifying (5x + -5)(3x + 9) = 0 Reorder the terms: (-5 + 5x)(3x + 9) = 0 Reorder the terms: (-5 + 5x)(9 + 3x) = 0 Multiply (-5 + 5x) * (9 + 3x) (-5(9 + 3x) + 5x * (9 + 3x)) = 0 ((9 * -5 + 3x * -5) + 5x * (9 + 3x)) = 0 ((-45 + -15x) + 5x * (9 + 3x)) = 0 (-45 + -15x + (9 * 5x + 3x * 5x)) = 0 (-45 + -15x + (45x + 15x2)) = 0 Combine like terms: -15x + 45x = 30x (-45 + 30x + 15x2) = 0 Solving -45 + 30x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15'. 15(-3 + 2x + x2) = 0 Factor a trinomial. 15((-3 + -1x)(1 + -1x)) = 0 Ignore the factor 15.Subproblem 1
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 = -3Subproblem 2
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 = 1Solution
x = {-3, 1}
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