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Simplifying 0 = 96x + -6x2 Solving 0 = 96x + -6x2 Solving for variable 'x'. Remove the zero: -96x + 6x2 = 96x + -6x2 + -96x + 6x2 Reorder the terms: -96x + 6x2 = 96x + -96x + -6x2 + 6x2 Combine like terms: 96x + -96x = 0 -96x + 6x2 = 0 + -6x2 + 6x2 -96x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -96x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-16 + x) = 0 Ignore the factor 6.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 '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Solution
x = {0, 16}
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