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Simplifying -2(x + -2) + -4x = 3(x + 1) * 9x Reorder the terms: -2(-2 + x) + -4x = 3(x + 1) * 9x (-2 * -2 + x * -2) + -4x = 3(x + 1) * 9x (4 + -2x) + -4x = 3(x + 1) * 9x Combine like terms: -2x + -4x = -6x 4 + -6x = 3(x + 1) * 9x Reorder the terms: 4 + -6x = 3(1 + x) * 9x Reorder the terms for easier multiplication: 4 + -6x = 3 * 9x(1 + x) Multiply 3 * 9 4 + -6x = 27x(1 + x) 4 + -6x = (1 * 27x + x * 27x) 4 + -6x = (27x + 27x2) Solving 4 + -6x = 27x + 27x2 Solving for variable 'x'. Combine like terms: -6x + -27x = -33x 4 + -33x + -27x2 = 27x + 27x2 + -27x + -27x2 Reorder the terms: 4 + -33x + -27x2 = 27x + -27x + 27x2 + -27x2 Combine like terms: 27x + -27x = 0 4 + -33x + -27x2 = 0 + 27x2 + -27x2 4 + -33x + -27x2 = 27x2 + -27x2 Combine like terms: 27x2 + -27x2 = 0 4 + -33x + -27x2 = 0 Factor a trinomial. (1 + -9x)(4 + 3x) = 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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0.1111111111, -1.333333333}
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