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Simplifying (3x + -1)(3x + 1) = 8x Reorder the terms: (-1 + 3x)(3x + 1) = 8x Reorder the terms: (-1 + 3x)(1 + 3x) = 8x Multiply (-1 + 3x) * (1 + 3x) (-1(1 + 3x) + 3x * (1 + 3x)) = 8x ((1 * -1 + 3x * -1) + 3x * (1 + 3x)) = 8x ((-1 + -3x) + 3x * (1 + 3x)) = 8x (-1 + -3x + (1 * 3x + 3x * 3x)) = 8x (-1 + -3x + (3x + 9x2)) = 8x Combine like terms: -3x + 3x = 0 (-1 + 0 + 9x2) = 8x (-1 + 9x2) = 8x Solving -1 + 9x2 = 8x Solving for variable 'x'. Reorder the terms: -1 + -8x + 9x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -8x + 9x2 = 0 Factor a trinomial. (-1 + -9x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.1111111111, 1}
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