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Simplifying (8x + -7)(7x + 9) = 0 Reorder the terms: (-7 + 8x)(7x + 9) = 0 Reorder the terms: (-7 + 8x)(9 + 7x) = 0 Multiply (-7 + 8x) * (9 + 7x) (-7(9 + 7x) + 8x * (9 + 7x)) = 0 ((9 * -7 + 7x * -7) + 8x * (9 + 7x)) = 0 ((-63 + -49x) + 8x * (9 + 7x)) = 0 (-63 + -49x + (9 * 8x + 7x * 8x)) = 0 (-63 + -49x + (72x + 56x2)) = 0 Combine like terms: -49x + 72x = 23x (-63 + 23x + 56x2) = 0 Solving -63 + 23x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -7x)(7 + -8x) = 0Subproblem 1
Set the factor '(-9 + -7x)' equal to zero and attempt to solve: Simplifying -9 + -7x = 0 Solving -9 + -7x = 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 + -7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = 0 + 9 -7x = 0 + 9 Combine like terms: 0 + 9 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286Subproblem 2
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Solution
x = {-1.285714286, 0.875}
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