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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 = 73x (-8 + 73x + -9x2) = 0 Solving -8 + 73x + -9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + x)(1 + -9x) = 0Subproblem 1
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 = 8Subproblem 2
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 = 0.1111111111Solution
x = {8, 0.1111111111}
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