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Simplifying (4x + -1)(9x + 1) = 0 Reorder the terms: (-1 + 4x)(9x + 1) = 0 Reorder the terms: (-1 + 4x)(1 + 9x) = 0 Multiply (-1 + 4x) * (1 + 9x) (-1(1 + 9x) + 4x * (1 + 9x)) = 0 ((1 * -1 + 9x * -1) + 4x * (1 + 9x)) = 0 ((-1 + -9x) + 4x * (1 + 9x)) = 0 (-1 + -9x + (1 * 4x + 9x * 4x)) = 0 (-1 + -9x + (4x + 36x2)) = 0 Combine like terms: -9x + 4x = -5x (-1 + -5x + 36x2) = 0 Solving -1 + -5x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -9x)(1 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.1111111111, 0.25}
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