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Simplifying (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 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.1111111111, -1}
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