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Simplifying 0 = (8x + 9)(x + -5) Reorder the terms: 0 = (9 + 8x)(x + -5) Reorder the terms: 0 = (9 + 8x)(-5 + x) Multiply (9 + 8x) * (-5 + x) 0 = (9(-5 + x) + 8x * (-5 + x)) 0 = ((-5 * 9 + x * 9) + 8x * (-5 + x)) 0 = ((-45 + 9x) + 8x * (-5 + x)) 0 = (-45 + 9x + (-5 * 8x + x * 8x)) 0 = (-45 + 9x + (-40x + 8x2)) Combine like terms: 9x + -40x = -31x 0 = (-45 + -31x + 8x2) Solving 0 = -45 + -31x + 8x2 Solving for variable 'x'. Combine like terms: 0 + 45 = 45 45 + 31x + -8x2 = -45 + -31x + 8x2 + 45 + 31x + -8x2 Reorder the terms: 45 + 31x + -8x2 = -45 + 45 + -31x + 31x + 8x2 + -8x2 Combine like terms: -45 + 45 = 0 45 + 31x + -8x2 = 0 + -31x + 31x + 8x2 + -8x2 45 + 31x + -8x2 = -31x + 31x + 8x2 + -8x2 Combine like terms: -31x + 31x = 0 45 + 31x + -8x2 = 0 + 8x2 + -8x2 45 + 31x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 45 + 31x + -8x2 = 0 Factor a trinomial. (5 + -1x)(9 + 8x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {5, -1.125}
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