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Simplifying (3x + -3)(5x + -6) = 0 Reorder the terms: (-3 + 3x)(5x + -6) = 0 Reorder the terms: (-3 + 3x)(-6 + 5x) = 0 Multiply (-3 + 3x) * (-6 + 5x) (-3(-6 + 5x) + 3x * (-6 + 5x)) = 0 ((-6 * -3 + 5x * -3) + 3x * (-6 + 5x)) = 0 ((18 + -15x) + 3x * (-6 + 5x)) = 0 (18 + -15x + (-6 * 3x + 5x * 3x)) = 0 (18 + -15x + (-18x + 15x2)) = 0 Combine like terms: -15x + -18x = -33x (18 + -33x + 15x2) = 0 Solving 18 + -33x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -11x + 5x2) = 0 Factor a trinomial. 3((1 + -1x)(6 + -5x)) = 0 Ignore the factor 3.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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {1, 1.2}
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