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Simplifying -16x2 + 96x + -2 = 126 Reorder the terms: -2 + 96x + -16x2 = 126 Solving -2 + 96x + -16x2 = 126 Solving for variable 'x'. Reorder the terms: -2 + -126 + 96x + -16x2 = 126 + -126 Combine like terms: -2 + -126 = -128 -128 + 96x + -16x2 = 126 + -126 Combine like terms: 126 + -126 = 0 -128 + 96x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-8 + 6x + -1x2) = 0 Factor a trinomial. 16((-4 + x)(2 + -1x)) = 0 Ignore the factor 16.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 '(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 = {4, 2}
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