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Simplifying x2 + -8x * 12 = 0 Reorder the terms for easier multiplication: x2 + -8 * 12x = 0 Multiply -8 * 12 x2 + -96x = 0 Reorder the terms: -96x + x2 = 0 Solving -96x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-96 + x) = 0Subproblem 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 '(-96 + x)' equal to zero and attempt to solve: Simplifying -96 + x = 0 Solving -96 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + x = 0 + 96 x = 0 + 96 Combine like terms: 0 + 96 = 96 x = 96 Simplifying x = 96Solution
x = {0, 96}
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