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Simplifying (9x + 7)(x + -8) = 0 Reorder the terms: (7 + 9x)(x + -8) = 0 Reorder the terms: (7 + 9x)(-8 + x) = 0 Multiply (7 + 9x) * (-8 + x) (7(-8 + x) + 9x * (-8 + x)) = 0 ((-8 * 7 + x * 7) + 9x * (-8 + x)) = 0 ((-56 + 7x) + 9x * (-8 + x)) = 0 (-56 + 7x + (-8 * 9x + x * 9x)) = 0 (-56 + 7x + (-72x + 9x2)) = 0 Combine like terms: 7x + -72x = -65x (-56 + -65x + 9x2) = 0 Solving -56 + -65x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -9x)(8 + -1x) = 0Subproblem 1
Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 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 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-0.7777777778, 8}
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