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Simplifying 3x(5x + -24) = 15 Reorder the terms: 3x(-24 + 5x) = 15 (-24 * 3x + 5x * 3x) = 15 (-72x + 15x2) = 15 Solving -72x + 15x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + -72x + 15x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -72x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + -24x + 5x2) = 0 Factor a trinomial. 3((-1 + -5x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.2, 5}
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