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Simplifying 2x2 + 64 = 24x Reorder the terms: 64 + 2x2 = 24x Solving 64 + 2x2 = 24x Solving for variable 'x'. Reorder the terms: 64 + -24x + 2x2 = 24x + -24x Combine like terms: 24x + -24x = 0 64 + -24x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(32 + -12x + x2) = 0 Factor a trinomial. 2((4 + -1x)(8 + -1x)) = 0 Ignore the factor 2.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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {4, 8}
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