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Simplifying 0 = -96x2 + -56x + 96 Reorder the terms: 0 = 96 + -56x + -96x2 Solving 0 = 96 + -56x + -96x2 Solving for variable 'x'. Combine like terms: 0 + -96 = -96 -96 + 56x + 96x2 = 96 + -56x + -96x2 + -96 + 56x + 96x2 Reorder the terms: -96 + 56x + 96x2 = 96 + -96 + -56x + 56x + -96x2 + 96x2 Combine like terms: 96 + -96 = 0 -96 + 56x + 96x2 = 0 + -56x + 56x + -96x2 + 96x2 -96 + 56x + 96x2 = -56x + 56x + -96x2 + 96x2 Combine like terms: -56x + 56x = 0 -96 + 56x + 96x2 = 0 + -96x2 + 96x2 -96 + 56x + 96x2 = -96x2 + 96x2 Combine like terms: -96x2 + 96x2 = 0 -96 + 56x + 96x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-12 + 7x + 12x2) = 0 Factor a trinomial. 8((-4 + -3x)(3 + -4x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-1.333333333, 0.75}
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