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Simplifying (7x + -5)(9x + 8) = 0 Reorder the terms: (-5 + 7x)(9x + 8) = 0 Reorder the terms: (-5 + 7x)(8 + 9x) = 0 Multiply (-5 + 7x) * (8 + 9x) (-5(8 + 9x) + 7x * (8 + 9x)) = 0 ((8 * -5 + 9x * -5) + 7x * (8 + 9x)) = 0 ((-40 + -45x) + 7x * (8 + 9x)) = 0 (-40 + -45x + (8 * 7x + 9x * 7x)) = 0 (-40 + -45x + (56x + 63x2)) = 0 Combine like terms: -45x + 56x = 11x (-40 + 11x + 63x2) = 0 Solving -40 + 11x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -9x)(5 + -7x) = 0Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve: Simplifying -8 + -9x = 0 Solving -8 + -9x = 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 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {-0.8888888889, 0.7142857143}
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