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Simplifying 4x2 + -62x + 108 = 0 Reorder the terms: 108 + -62x + 4x2 = 0 Solving 108 + -62x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(54 + -31x + 2x2) = 0 Factor a trinomial. 2((2 + -1x)(27 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(27 + -2x)' equal to zero and attempt to solve: Simplifying 27 + -2x = 0 Solving 27 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 0 + -27 -2x = 0 + -27 Combine like terms: 0 + -27 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5Solution
x = {2, 13.5}
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