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Simplifying (5x + 9)(9x + -5) = 0 Reorder the terms: (9 + 5x)(9x + -5) = 0 Reorder the terms: (9 + 5x)(-5 + 9x) = 0 Multiply (9 + 5x) * (-5 + 9x) (9(-5 + 9x) + 5x * (-5 + 9x)) = 0 ((-5 * 9 + 9x * 9) + 5x * (-5 + 9x)) = 0 ((-45 + 81x) + 5x * (-5 + 9x)) = 0 (-45 + 81x + (-5 * 5x + 9x * 5x)) = 0 (-45 + 81x + (-25x + 45x2)) = 0 Combine like terms: 81x + -25x = 56x (-45 + 56x + 45x2) = 0 Solving -45 + 56x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -5x)(5 + -9x) = 0Subproblem 1
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 = -1.8Subproblem 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 = {-1.8, 0.5555555556}
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