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Simplifying x(x + 2) + 5 = 445 Reorder the terms: x(2 + x) + 5 = 445 (2 * x + x * x) + 5 = 445 (2x + x2) + 5 = 445 Reorder the terms: 5 + 2x + x2 = 445 Solving 5 + 2x + x2 = 445 Solving for variable 'x'. Reorder the terms: 5 + -445 + 2x + x2 = 445 + -445 Combine like terms: 5 + -445 = -440 -440 + 2x + x2 = 445 + -445 Combine like terms: 445 + -445 = 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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