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Simplifying 0 = 12x2 + -112x Reorder the terms: 0 = -112x + 12x2 Solving 0 = -112x + 12x2 Solving for variable 'x'. Remove the zero: 112x + -12x2 = -112x + 12x2 + 112x + -12x2 Reorder the terms: 112x + -12x2 = -112x + 112x + 12x2 + -12x2 Combine like terms: -112x + 112x = 0 112x + -12x2 = 0 + 12x2 + -12x2 112x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 112x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(28 + -3x) = 0 Ignore the factor 4.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 '(28 + -3x)' equal to zero and attempt to solve: Simplifying 28 + -3x = 0 Solving 28 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 0 + -28 -3x = 0 + -28 Combine like terms: 0 + -28 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333Solution
x = {0, 9.333333333}
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