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Simplifying (8x + -9)(x + -7) = 0 Reorder the terms: (-9 + 8x)(x + -7) = 0 Reorder the terms: (-9 + 8x)(-7 + x) = 0 Multiply (-9 + 8x) * (-7 + x) (-9(-7 + x) + 8x * (-7 + x)) = 0 ((-7 * -9 + x * -9) + 8x * (-7 + x)) = 0 ((63 + -9x) + 8x * (-7 + x)) = 0 (63 + -9x + (-7 * 8x + x * 8x)) = 0 (63 + -9x + (-56x + 8x2)) = 0 Combine like terms: -9x + -56x = -65x (63 + -65x + 8x2) = 0 Solving 63 + -65x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -8x)(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {1.125, 7}
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