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Simplifying 0 = 72x2 + 492x + -84 Reorder the terms: 0 = -84 + 492x + 72x2 Solving 0 = -84 + 492x + 72x2 Solving for variable 'x'. Combine like terms: 0 + 84 = 84 84 + -492x + -72x2 = -84 + 492x + 72x2 + 84 + -492x + -72x2 Reorder the terms: 84 + -492x + -72x2 = -84 + 84 + 492x + -492x + 72x2 + -72x2 Combine like terms: -84 + 84 = 0 84 + -492x + -72x2 = 0 + 492x + -492x + 72x2 + -72x2 84 + -492x + -72x2 = 492x + -492x + 72x2 + -72x2 Combine like terms: 492x + -492x = 0 84 + -492x + -72x2 = 0 + 72x2 + -72x2 84 + -492x + -72x2 = 72x2 + -72x2 Combine like terms: 72x2 + -72x2 = 0 84 + -492x + -72x2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(7 + -41x + -6x2) = 0 Factor a trinomial. 12((1 + -6x)(7 + x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0.1666666667, -7}
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