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Simplifying 2x2 + -16x + 24 = 24 Reorder the terms: 24 + -16x + 2x2 = 24 Add '-24' to each side of the equation. 24 + -16x + -24 + 2x2 = 24 + -24 Reorder the terms: 24 + -24 + -16x + 2x2 = 24 + -24 Combine like terms: 24 + -24 = 0 0 + -16x + 2x2 = 24 + -24 -16x + 2x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -16x + 2x2 = 0 Solving -16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-8 + x) = 0 Ignore the factor 2.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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {0, 8}
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