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Simplifying 128 = 128 + 112x + -16x2 Add '-128' to each side of the equation. 128 + -128 = 128 + 112x + -128 + -16x2 Combine like terms: 128 + -128 = 0 0 = 128 + 112x + -128 + -16x2 Reorder the terms: 0 = 128 + -128 + 112x + -16x2 Combine like terms: 128 + -128 = 0 0 = 0 + 112x + -16x2 0 = 112x + -16x2 Solving 0 = 112x + -16x2 Solving for variable 'x'. Remove the zero: -112x + 16x2 = 112x + -16x2 + -112x + 16x2 Reorder the terms: -112x + 16x2 = 112x + -112x + -16x2 + 16x2 Combine like terms: 112x + -112x = 0 -112x + 16x2 = 0 + -16x2 + 16x2 -112x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -112x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16x'. 16x(-7 + 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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {0, 7}
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