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Simplifying 3x2 + -24x + 144 = 96 Reorder the terms: 144 + -24x + 3x2 = 96 Solving 144 + -24x + 3x2 = 96 Solving for variable 'x'. Reorder the terms: 144 + -96 + -24x + 3x2 = 96 + -96 Combine like terms: 144 + -96 = 48 48 + -24x + 3x2 = 96 + -96 Combine like terms: 96 + -96 = 0 48 + -24x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + -8x + x2) = 0 Factor a trinomial. 3((4 + -1x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {4, 4}
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