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Simplifying 17x + 9 = x(x + 9) Reorder the terms: 9 + 17x = x(x + 9) Reorder the terms: 9 + 17x = x(9 + x) 9 + 17x = (9 * x + x * x) 9 + 17x = (9x + x2) Solving 9 + 17x = 9x + x2 Solving for variable 'x'. Combine like terms: 17x + -9x = 8x 9 + 8x + -1x2 = 9x + x2 + -9x + -1x2 Reorder the terms: 9 + 8x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 9 + 8x + -1x2 = 0 + x2 + -1x2 9 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 8x + -1x2 = 0 Factor a trinomial. (9 + -1x)(1 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {9, -1}
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