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Simplifying (-9x + 7)(8x + -1) = 0 Reorder the terms: (7 + -9x)(8x + -1) = 0 Reorder the terms: (7 + -9x)(-1 + 8x) = 0 Multiply (7 + -9x) * (-1 + 8x) (7(-1 + 8x) + -9x * (-1 + 8x)) = 0 ((-1 * 7 + 8x * 7) + -9x * (-1 + 8x)) = 0 ((-7 + 56x) + -9x * (-1 + 8x)) = 0 (-7 + 56x + (-1 * -9x + 8x * -9x)) = 0 (-7 + 56x + (9x + -72x2)) = 0 Combine like terms: 56x + 9x = 65x (-7 + 65x + -72x2) = 0 Solving -7 + 65x + -72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + 9x)(1 + -8x) = 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 '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Solution
x = {0.7777777778, 0.125}
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