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Simplifying 0 = 144 + -96x + 15x2 Solving 0 = 144 + -96x + 15x2 Solving for variable 'x'. Combine like terms: 0 + -144 = -144 -144 + 96x + -15x2 = 144 + -96x + 15x2 + -144 + 96x + -15x2 Reorder the terms: -144 + 96x + -15x2 = 144 + -144 + -96x + 96x + 15x2 + -15x2 Combine like terms: 144 + -144 = 0 -144 + 96x + -15x2 = 0 + -96x + 96x + 15x2 + -15x2 -144 + 96x + -15x2 = -96x + 96x + 15x2 + -15x2 Combine like terms: -96x + 96x = 0 -144 + 96x + -15x2 = 0 + 15x2 + -15x2 -144 + 96x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -144 + 96x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-48 + 32x + -5x2) = 0 Factor a trinomial. 3((-4 + x)(12 + -5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Solution
x = {4, 2.4}
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