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Simplifying 0 = x2 + 2x + -528 Reorder the terms: 0 = -528 + 2x + x2 Solving 0 = -528 + 2x + x2 Solving for variable 'x'. Combine like terms: 0 + 528 = 528 528 + -2x + -1x2 = -528 + 2x + x2 + 528 + -2x + -1x2 Reorder the terms: 528 + -2x + -1x2 = -528 + 528 + 2x + -2x + x2 + -1x2 Combine like terms: -528 + 528 = 0 528 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2 528 + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 528 + -2x + -1x2 = 0 + x2 + -1x2 528 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 528 + -2x + -1x2 = 0 Factor a trinomial. (22 + -1x)(24 + x) = 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 '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {22, -24}
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