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Simplifying 72x2 = 65x + 18 Reorder the terms: 72x2 = 18 + 65x Solving 72x2 = 18 + 65x Solving for variable 'x'. Reorder the terms: -18 + -65x + 72x2 = 18 + 65x + -18 + -65x Reorder the terms: -18 + -65x + 72x2 = 18 + -18 + 65x + -65x Combine like terms: 18 + -18 = 0 -18 + -65x + 72x2 = 0 + 65x + -65x -18 + -65x + 72x2 = 65x + -65x Combine like terms: 65x + -65x = 0 -18 + -65x + 72x2 = 0 Factor a trinomial. (-2 + -9x)(9 + -8x) = 0Subproblem 1
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 = -0.2222222222Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 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 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {-0.2222222222, 1.125}
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