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Simplifying 8x2 = 72x + -162 Reorder the terms: 8x2 = -162 + 72x Solving 8x2 = -162 + 72x Solving for variable 'x'. Reorder the terms: 162 + -72x + 8x2 = -162 + 72x + 162 + -72x Reorder the terms: 162 + -72x + 8x2 = -162 + 162 + 72x + -72x Combine like terms: -162 + 162 = 0 162 + -72x + 8x2 = 0 + 72x + -72x 162 + -72x + 8x2 = 72x + -72x Combine like terms: 72x + -72x = 0 162 + -72x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(81 + -36x + 4x2) = 0 Factor a trinomial. 2((9 + -2x)(9 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {4.5, 4.5}
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