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Simplifying 10x2 + 128 = 96x Reorder the terms: 128 + 10x2 = 96x Solving 128 + 10x2 = 96x Solving for variable 'x'. Reorder the terms: 128 + -96x + 10x2 = 96x + -96x Combine like terms: 96x + -96x = 0 128 + -96x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(64 + -48x + 5x2) = 0 Factor a trinomial. 2((8 + -5x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 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 = {1.6, 8}
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