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Simplifying 81x2 + 18x + -8 = -9 Reorder the terms: -8 + 18x + 81x2 = -9 Solving -8 + 18x + 81x2 = -9 Solving for variable 'x'. Reorder the terms: -8 + 9 + 18x + 81x2 = -9 + 9 Combine like terms: -8 + 9 = 1 1 + 18x + 81x2 = -9 + 9 Combine like terms: -9 + 9 = 0 1 + 18x + 81x2 = 0 Factor a trinomial. (1 + 9x)(1 + 9x) = 0Subproblem 1
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 = -0.1111111111Subproblem 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 = {-0.1111111111, -0.1111111111}
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