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Simplifying 72x2 = -17x + -1 Reorder the terms: 72x2 = -1 + -17x Solving 72x2 = -1 + -17x Solving for variable 'x'. Reorder the terms: 1 + 17x + 72x2 = -1 + -17x + 1 + 17x Reorder the terms: 1 + 17x + 72x2 = -1 + 1 + -17x + 17x Combine like terms: -1 + 1 = 0 1 + 17x + 72x2 = 0 + -17x + 17x 1 + 17x + 72x2 = -17x + 17x Combine like terms: -17x + 17x = 0 1 + 17x + 72x2 = 0 Factor a trinomial. (1 + 8x)(1 + 9x) = 0Subproblem 1
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Subproblem 2
Set the factor '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 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 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Solution
x = {-0.125, -0.1111111111}
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