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Simplifying 3(5x + -6)(5x + 3) = 0 Reorder the terms: 3(-6 + 5x)(5x + 3) = 0 Reorder the terms: 3(-6 + 5x)(3 + 5x) = 0 Multiply (-6 + 5x) * (3 + 5x) 3(-6(3 + 5x) + 5x * (3 + 5x)) = 0 3((3 * -6 + 5x * -6) + 5x * (3 + 5x)) = 0 3((-18 + -30x) + 5x * (3 + 5x)) = 0 3(-18 + -30x + (3 * 5x + 5x * 5x)) = 0 3(-18 + -30x + (15x + 25x2)) = 0 Combine like terms: -30x + 15x = -15x 3(-18 + -15x + 25x2) = 0 (-18 * 3 + -15x * 3 + 25x2 * 3) = 0 (-54 + -45x + 75x2) = 0 Solving -54 + -45x + 75x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-18 + -15x + 25x2) = 0 Factor a trinomial. 3((-3 + -5x)(6 + -5x)) = 0 Ignore the factor 3.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 '(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 = {-0.6, 1.2}
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