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Simplifying x(2x + 17) = 9 Reorder the terms: x(17 + 2x) = 9 (17 * x + 2x * x) = 9 (17x + 2x2) = 9 Solving 17x + 2x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + 17x + 2x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 17x + 2x2 = 0 Factor a trinomial. (-9 + -1x)(1 + -2x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-9, 0.5}
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