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Simplifying (9 + x)(5x + -1) = 0 Reorder the terms: (9 + x)(-1 + 5x) = 0 Multiply (9 + x) * (-1 + 5x) (9(-1 + 5x) + x(-1 + 5x)) = 0 ((-1 * 9 + 5x * 9) + x(-1 + 5x)) = 0 ((-9 + 45x) + x(-1 + 5x)) = 0 (-9 + 45x + (-1 * x + 5x * x)) = 0 (-9 + 45x + (-1x + 5x2)) = 0 Combine like terms: 45x + -1x = 44x (-9 + 44x + 5x2) = 0 Solving -9 + 44x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(1 + -5x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-9, 0.2}
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