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Simplifying (9x + -5)(4x + 1) = 0 Reorder the terms: (-5 + 9x)(4x + 1) = 0 Reorder the terms: (-5 + 9x)(1 + 4x) = 0 Multiply (-5 + 9x) * (1 + 4x) (-5(1 + 4x) + 9x * (1 + 4x)) = 0 ((1 * -5 + 4x * -5) + 9x * (1 + 4x)) = 0 ((-5 + -20x) + 9x * (1 + 4x)) = 0 (-5 + -20x + (1 * 9x + 4x * 9x)) = 0 (-5 + -20x + (9x + 36x2)) = 0 Combine like terms: -20x + 9x = -11x (-5 + -11x + 36x2) = 0 Solving -5 + -11x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(5 + -9x) = 0Subproblem 1
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 = -0.25Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {-0.25, 0.5555555556}
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