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Simplifying 9x2 + 17x + 16 = 8 Reorder the terms: 16 + 17x + 9x2 = 8 Solving 16 + 17x + 9x2 = 8 Solving for variable 'x'. Reorder the terms: 16 + -8 + 17x + 9x2 = 8 + -8 Combine like terms: 16 + -8 = 8 8 + 17x + 9x2 = 8 + -8 Combine like terms: 8 + -8 = 0 8 + 17x + 9x2 = 0 Factor a trinomial. (1 + x)(8 + 9x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Solution
x = {-1, -0.8888888889}
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