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Simplifying 81x2 + 144x + 64 = 9 Reorder the terms: 64 + 144x + 81x2 = 9 Solving 64 + 144x + 81x2 = 9 Solving for variable 'x'. Reorder the terms: 64 + -9 + 144x + 81x2 = 9 + -9 Combine like terms: 64 + -9 = 55 55 + 144x + 81x2 = 9 + -9 Combine like terms: 9 + -9 = 0 55 + 144x + 81x2 = 0 Factor a trinomial. (11 + 9x)(5 + 9x) = 0Subproblem 1
Set the factor '(11 + 9x)' equal to zero and attempt to solve: Simplifying 11 + 9x = 0 Solving 11 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 0 + -11 9x = 0 + -11 Combine like terms: 0 + -11 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222Subproblem 2
Set the factor '(5 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556Solution
x = {-1.222222222, -0.5555555556}
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