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Simplifying 2x2 + -12x + 16 = 16 Reorder the terms: 16 + -12x + 2x2 = 16 Add '-16' to each side of the equation. 16 + -12x + -16 + 2x2 = 16 + -16 Reorder the terms: 16 + -16 + -12x + 2x2 = 16 + -16 Combine like terms: 16 + -16 = 0 0 + -12x + 2x2 = 16 + -16 -12x + 2x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -12x + 2x2 = 0 Solving -12x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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