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Simplifying 81x2 + 162x + 17 = 0 Reorder the terms: 17 + 162x + 81x2 = 0 Solving 17 + 162x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + 9x)(1 + 9x) = 0Subproblem 1
Set the factor '(17 + 9x)' equal to zero and attempt to solve: Simplifying 17 + 9x = 0 Solving 17 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 9x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 0 + -17 9x = 0 + -17 Combine like terms: 0 + -17 = -17 9x = -17 Divide each side by '9'. x = -1.888888889 Simplifying x = -1.888888889Subproblem 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 = {-1.888888889, -0.1111111111}
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