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Simplifying 9x2 + -18x + 9 = 64x Reorder the terms: 9 + -18x + 9x2 = 64x Solving 9 + -18x + 9x2 = 64x Solving for variable 'x'. Reorder the terms: 9 + -18x + -64x + 9x2 = 64x + -64x Combine like terms: -18x + -64x = -82x 9 + -82x + 9x2 = 64x + -64x Combine like terms: 64x + -64x = 0 9 + -82x + 9x2 = 0 Factor a trinomial. (1 + -9x)(9 + -1x) = 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 '(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 = 9Solution
x = {0.1111111111, 9}
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