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Simplifying (X)(X + 2) = 440 Reorder the terms: X(2 + X) = 440 (2 * X + X * X) = 440 (2X + X2) = 440 Solving 2X + X2 = 440 Solving for variable 'X'. Reorder the terms: -440 + 2X + X2 = 440 + -440 Combine like terms: 440 + -440 = 0 -440 + 2X + X2 = 0 Factor a trinomial. (-22 + -1X)(20 + -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 '(20 + -1X)' equal to zero and attempt to solve: Simplifying 20 + -1X = 0 Solving 20 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1X = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1X = 0 + -20 -1X = 0 + -20 Combine like terms: 0 + -20 = -20 -1X = -20 Divide each side by '-1'. X = 20 Simplifying X = 20Solution
X = {-22, 20}
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