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Simplifying (8x + -3)(9x + -5) = 0 Reorder the terms: (-3 + 8x)(9x + -5) = 0 Reorder the terms: (-3 + 8x)(-5 + 9x) = 0 Multiply (-3 + 8x) * (-5 + 9x) (-3(-5 + 9x) + 8x * (-5 + 9x)) = 0 ((-5 * -3 + 9x * -3) + 8x * (-5 + 9x)) = 0 ((15 + -27x) + 8x * (-5 + 9x)) = 0 (15 + -27x + (-5 * 8x + 9x * 8x)) = 0 (15 + -27x + (-40x + 72x2)) = 0 Combine like terms: -27x + -40x = -67x (15 + -67x + 72x2) = 0 Solving 15 + -67x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(5 + -9x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 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 = {0.375, 0.5555555556}
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