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Simplifying (9x + -4)(5x + 2) = 0 Reorder the terms: (-4 + 9x)(5x + 2) = 0 Reorder the terms: (-4 + 9x)(2 + 5x) = 0 Multiply (-4 + 9x) * (2 + 5x) (-4(2 + 5x) + 9x * (2 + 5x)) = 0 ((2 * -4 + 5x * -4) + 9x * (2 + 5x)) = 0 ((-8 + -20x) + 9x * (2 + 5x)) = 0 (-8 + -20x + (2 * 9x + 5x * 9x)) = 0 (-8 + -20x + (18x + 45x2)) = 0 Combine like terms: -20x + 18x = -2x (-8 + -2x + 45x2) = 0 Solving -8 + -2x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(4 + -9x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
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 = 0.4444444444Solution
x = {-0.4, 0.4444444444}
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