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Simplifying 72x2 = -56x + 16 Reorder the terms: 72x2 = 16 + -56x Solving 72x2 = 16 + -56x Solving for variable 'x'. Reorder the terms: -16 + 56x + 72x2 = 16 + -56x + -16 + 56x Reorder the terms: -16 + 56x + 72x2 = 16 + -16 + -56x + 56x Combine like terms: 16 + -16 = 0 -16 + 56x + 72x2 = 0 + -56x + 56x -16 + 56x + 72x2 = -56x + 56x Combine like terms: -56x + 56x = 0 -16 + 56x + 72x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + 7x + 9x2) = 0 Factor a trinomial. 8((-1 + -1x)(2 + -9x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {-1, 0.2222222222}
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