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Simplifying (7x + -5)(8x + 9) = 0 Reorder the terms: (-5 + 7x)(8x + 9) = 0 Reorder the terms: (-5 + 7x)(9 + 8x) = 0 Multiply (-5 + 7x) * (9 + 8x) (-5(9 + 8x) + 7x * (9 + 8x)) = 0 ((9 * -5 + 8x * -5) + 7x * (9 + 8x)) = 0 ((-45 + -40x) + 7x * (9 + 8x)) = 0 (-45 + -40x + (9 * 7x + 8x * 7x)) = 0 (-45 + -40x + (63x + 56x2)) = 0 Combine like terms: -40x + 63x = 23x (-45 + 23x + 56x2) = 0 Solving -45 + 23x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -8x)(5 + -7x) = 0Subproblem 1
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 = -1.125Subproblem 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 = {-1.125, 0.7142857143}
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