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Simplifying (2x + 5)(5x + -9) = 0 Reorder the terms: (5 + 2x)(5x + -9) = 0 Reorder the terms: (5 + 2x)(-9 + 5x) = 0 Multiply (5 + 2x) * (-9 + 5x) (5(-9 + 5x) + 2x * (-9 + 5x)) = 0 ((-9 * 5 + 5x * 5) + 2x * (-9 + 5x)) = 0 ((-45 + 25x) + 2x * (-9 + 5x)) = 0 (-45 + 25x + (-9 * 2x + 5x * 2x)) = 0 (-45 + 25x + (-18x + 10x2)) = 0 Combine like terms: 25x + -18x = 7x (-45 + 7x + 10x2) = 0 Solving -45 + 7x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(9 + -5x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-2.5, 1.8}
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