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Simplifying (22 + -1x)(1000 + -1x) = 0 Multiply (22 + -1x) * (1000 + -1x) (22(1000 + -1x) + -1x * (1000 + -1x)) = 0 ((1000 * 22 + -1x * 22) + -1x * (1000 + -1x)) = 0 ((22000 + -22x) + -1x * (1000 + -1x)) = 0 (22000 + -22x + (1000 * -1x + -1x * -1x)) = 0 (22000 + -22x + (-1000x + 1x2)) = 0 Combine like terms: -22x + -1000x = -1022x (22000 + -1022x + 1x2) = 0 Solving 22000 + -1022x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (22 + -1x)(1000 + -1x) = 0Subproblem 1
Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Subproblem 2
Set the factor '(1000 + -1x)' equal to zero and attempt to solve: Simplifying 1000 + -1x = 0 Solving 1000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + -1x = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1x = 0 + -1000 -1x = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -1x = -1000 Divide each side by '-1'. x = 1000 Simplifying x = 1000Solution
x = {22, 1000}
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