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Simplifying (-1x + -4)(-9 + -1x) = 0 Reorder the terms: (-4 + -1x)(-9 + -1x) = 0 Multiply (-4 + -1x) * (-9 + -1x) (-4(-9 + -1x) + -1x * (-9 + -1x)) = 0 ((-9 * -4 + -1x * -4) + -1x * (-9 + -1x)) = 0 ((36 + 4x) + -1x * (-9 + -1x)) = 0 (36 + 4x + (-9 * -1x + -1x * -1x)) = 0 (36 + 4x + (9x + 1x2)) = 0 Combine like terms: 4x + 9x = 13x (36 + 13x + 1x2) = 0 Solving 36 + 13x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(4 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-9, -4}
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