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Simplifying 144x = 9x2 + -324 Reorder the terms: 144x = -324 + 9x2 Solving 144x = -324 + 9x2 Solving for variable 'x'. Reorder the terms: 324 + 144x + -9x2 = -324 + 9x2 + 324 + -9x2 Reorder the terms: 324 + 144x + -9x2 = -324 + 324 + 9x2 + -9x2 Combine like terms: -324 + 324 = 0 324 + 144x + -9x2 = 0 + 9x2 + -9x2 324 + 144x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 324 + 144x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(36 + 16x + -1x2) = 0 Factor a trinomial. 9((18 + -1x)(2 + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {18, -2}
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