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Simplifying 15x2 + -24x + -9 = 3 Reorder the terms: -9 + -24x + 15x2 = 3 Solving -9 + -24x + 15x2 = 3 Solving for variable 'x'. Reorder the terms: -9 + -3 + -24x + 15x2 = 3 + -3 Combine like terms: -9 + -3 = -12 -12 + -24x + 15x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -12 + -24x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + -8x + 5x2) = 0 Factor a trinomial. 3((-2 + -5x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.4, 2}
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