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Simplifying 9x2 + -18x + 9 = x2 Reorder the terms: 9 + -18x + 9x2 = x2 Solving 9 + -18x + 9x2 = x2 Solving for variable 'x'. Combine like terms: 9x2 + -1x2 = 8x2 9 + -18x + 8x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + -18x + 8x2 = 0 Factor a trinomial. (3 + -4x)(3 + -2x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.75, 1.5}
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