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