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Simplifying (5x + -1)(9x + 4) = 0 Reorder the terms: (-1 + 5x)(9x + 4) = 0 Reorder the terms: (-1 + 5x)(4 + 9x) = 0 Multiply (-1 + 5x) * (4 + 9x) (-1(4 + 9x) + 5x * (4 + 9x)) = 0 ((4 * -1 + 9x * -1) + 5x * (4 + 9x)) = 0 ((-4 + -9x) + 5x * (4 + 9x)) = 0 (-4 + -9x + (4 * 5x + 9x * 5x)) = 0 (-4 + -9x + (20x + 45x2)) = 0 Combine like terms: -9x + 20x = 11x (-4 + 11x + 45x2) = 0 Solving -4 + 11x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -9x)(1 + -5x) = 0Subproblem 1
Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 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 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.4444444444, 0.2}
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