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Simplifying 0 = 12x2 + 56x Reorder the terms: 0 = 56x + 12x2 Solving 0 = 56x + 12x2 Solving for variable 'x'. Remove the zero: -56x + -12x2 = 56x + 12x2 + -56x + -12x2 Reorder the terms: -56x + -12x2 = 56x + -56x + 12x2 + -12x2 Combine like terms: 56x + -56x = 0 -56x + -12x2 = 0 + 12x2 + -12x2 -56x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -56x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(14 + 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 '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667Solution
x = {0, -4.666666667}
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