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Simplifying (x + -3)(5x + -5) = 0 Reorder the terms: (-3 + x)(5x + -5) = 0 Reorder the terms: (-3 + x)(-5 + 5x) = 0 Multiply (-3 + x) * (-5 + 5x) (-3(-5 + 5x) + x(-5 + 5x)) = 0 ((-5 * -3 + 5x * -3) + x(-5 + 5x)) = 0 ((15 + -15x) + x(-5 + 5x)) = 0 (15 + -15x + (-5 * x + 5x * x)) = 0 (15 + -15x + (-5x + 5x2)) = 0 Combine like terms: -15x + -5x = -20x (15 + -20x + 5x2) = 0 Solving 15 + -20x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(3 + -4x + 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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