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Simplifying (7x + -8)(5x + 8) = 0 Reorder the terms: (-8 + 7x)(5x + 8) = 0 Reorder the terms: (-8 + 7x)(8 + 5x) = 0 Multiply (-8 + 7x) * (8 + 5x) (-8(8 + 5x) + 7x * (8 + 5x)) = 0 ((8 * -8 + 5x * -8) + 7x * (8 + 5x)) = 0 ((-64 + -40x) + 7x * (8 + 5x)) = 0 (-64 + -40x + (8 * 7x + 5x * 7x)) = 0 (-64 + -40x + (56x + 35x2)) = 0 Combine like terms: -40x + 56x = 16x (-64 + 16x + 35x2) = 0 Solving -64 + 16x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x)(8 + -7x) = 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 '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-1.6, 1.142857143}
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