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Simplifying (5x + 3)(2x + -6) = 0 Reorder the terms: (3 + 5x)(2x + -6) = 0 Reorder the terms: (3 + 5x)(-6 + 2x) = 0 Multiply (3 + 5x) * (-6 + 2x) (3(-6 + 2x) + 5x * (-6 + 2x)) = 0 ((-6 * 3 + 2x * 3) + 5x * (-6 + 2x)) = 0 ((-18 + 6x) + 5x * (-6 + 2x)) = 0 (-18 + 6x + (-6 * 5x + 2x * 5x)) = 0 (-18 + 6x + (-30x + 10x2)) = 0 Combine like terms: 6x + -30x = -24x (-18 + -24x + 10x2) = 0 Solving -18 + -24x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -12x + 5x2) = 0 Factor a trinomial. 2((-3 + -5x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, 3}
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