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Simplifying (5x + 7)(8x + -9) = 0 Reorder the terms: (7 + 5x)(8x + -9) = 0 Reorder the terms: (7 + 5x)(-9 + 8x) = 0 Multiply (7 + 5x) * (-9 + 8x) (7(-9 + 8x) + 5x * (-9 + 8x)) = 0 ((-9 * 7 + 8x * 7) + 5x * (-9 + 8x)) = 0 ((-63 + 56x) + 5x * (-9 + 8x)) = 0 (-63 + 56x + (-9 * 5x + 8x * 5x)) = 0 (-63 + 56x + (-45x + 40x2)) = 0 Combine like terms: 56x + -45x = 11x (-63 + 11x + 40x2) = 0 Solving -63 + 11x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(9 + -8x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 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 = {-1.4, 1.125}
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