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Simplifying (x + -10)(x + 9) = 0 Reorder the terms: (-10 + x)(x + 9) = 0 Reorder the terms: (-10 + x)(9 + x) = 0 Multiply (-10 + x) * (9 + x) (-10(9 + x) + x(9 + x)) = 0 ((9 * -10 + x * -10) + x(9 + x)) = 0 ((-90 + -10x) + x(9 + x)) = 0 (-90 + -10x + (9 * x + x * x)) = 0 (-90 + -10x + (9x + x2)) = 0 Combine like terms: -10x + 9x = -1x (-90 + -1x + x2) = 0 Solving -90 + -1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-9, 10}
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