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Simplifying (5x + -9)(5x + -8) = 0 Reorder the terms: (-9 + 5x)(5x + -8) = 0 Reorder the terms: (-9 + 5x)(-8 + 5x) = 0 Multiply (-9 + 5x) * (-8 + 5x) (-9(-8 + 5x) + 5x * (-8 + 5x)) = 0 ((-8 * -9 + 5x * -9) + 5x * (-8 + 5x)) = 0 ((72 + -45x) + 5x * (-8 + 5x)) = 0 (72 + -45x + (-8 * 5x + 5x * 5x)) = 0 (72 + -45x + (-40x + 25x2)) = 0 Combine like terms: -45x + -40x = -85x (72 + -85x + 25x2) = 0 Solving 72 + -85x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -5x)(9 + -5x) = 0Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 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 = {1.6, 1.8}
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