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Simplifying 8 = -16x2 + 48x + 8 Reorder the terms: 8 = 8 + 48x + -16x2 Add '-8' to each side of the equation. 8 + -8 = 8 + 48x + -8 + -16x2 Combine like terms: 8 + -8 = 0 0 = 8 + 48x + -8 + -16x2 Reorder the terms: 0 = 8 + -8 + 48x + -16x2 Combine like terms: 8 + -8 = 0 0 = 0 + 48x + -16x2 0 = 48x + -16x2 Solving 0 = 48x + -16x2 Solving for variable 'x'. Remove the zero: -48x + 16x2 = 48x + -16x2 + -48x + 16x2 Reorder the terms: -48x + 16x2 = 48x + -48x + -16x2 + 16x2 Combine like terms: 48x + -48x = 0 -48x + 16x2 = 0 + -16x2 + 16x2 -48x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -48x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16x'. 16x(-3 + x) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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