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Simplifying (-9x + 1)(x + 8) = 0 Reorder the terms: (1 + -9x)(x + 8) = 0 Reorder the terms: (1 + -9x)(8 + x) = 0 Multiply (1 + -9x) * (8 + x) (1(8 + x) + -9x * (8 + x)) = 0 ((8 * 1 + x * 1) + -9x * (8 + x)) = 0 ((8 + 1x) + -9x * (8 + x)) = 0 (8 + 1x + (8 * -9x + x * -9x)) = 0 (8 + 1x + (-72x + -9x2)) = 0 Combine like terms: 1x + -72x = -71x (8 + -71x + -9x2) = 0 Solving 8 + -71x + -9x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -9x)(8 + x) = 0Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0.1111111111, -8}
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