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Simplifying (9x + -4)(5x + 7) = 0 Reorder the terms: (-4 + 9x)(5x + 7) = 0 Reorder the terms: (-4 + 9x)(7 + 5x) = 0 Multiply (-4 + 9x) * (7 + 5x) (-4(7 + 5x) + 9x * (7 + 5x)) = 0 ((7 * -4 + 5x * -4) + 9x * (7 + 5x)) = 0 ((-28 + -20x) + 9x * (7 + 5x)) = 0 (-28 + -20x + (7 * 9x + 5x * 9x)) = 0 (-28 + -20x + (63x + 45x2)) = 0 Combine like terms: -20x + 63x = 43x (-28 + 43x + 45x2) = 0 Solving -28 + 43x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(4 + -9x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, 0.4444444444}
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