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Simplifying (-10 + -1x)(9 + -1x) = 0 Multiply (-10 + -1x) * (9 + -1x) (-10(9 + -1x) + -1x * (9 + -1x)) = 0 ((9 * -10 + -1x * -10) + -1x * (9 + -1x)) = 0 ((-90 + 10x) + -1x * (9 + -1x)) = 0 (-90 + 10x + (9 * -1x + -1x * -1x)) = 0 (-90 + 10x + (-9x + 1x2)) = 0 Combine like terms: 10x + -9x = 1x (-90 + 1x + 1x2) = 0 Solving -90 + 1x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(9 + -1x) = 0Subproblem 1
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 = -10Subproblem 2
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 = 9Solution
x = {-10, 9}
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