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Simplifying (3x + -4)(9x + -1) = 0 Reorder the terms: (-4 + 3x)(9x + -1) = 0 Reorder the terms: (-4 + 3x)(-1 + 9x) = 0 Multiply (-4 + 3x) * (-1 + 9x) (-4(-1 + 9x) + 3x * (-1 + 9x)) = 0 ((-1 * -4 + 9x * -4) + 3x * (-1 + 9x)) = 0 ((4 + -36x) + 3x * (-1 + 9x)) = 0 (4 + -36x + (-1 * 3x + 9x * 3x)) = 0 (4 + -36x + (-3x + 27x2)) = 0 Combine like terms: -36x + -3x = -39x (4 + -39x + 27x2) = 0 Solving 4 + -39x + 27x2 = 0 Solving for variable 'x'. 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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