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Simplifying 0 = x2 + -4x + -396 Reorder the terms: 0 = -396 + -4x + x2 Solving 0 = -396 + -4x + x2 Solving for variable 'x'. Combine like terms: 0 + 396 = 396 396 + 4x + -1x2 = -396 + -4x + x2 + 396 + 4x + -1x2 Reorder the terms: 396 + 4x + -1x2 = -396 + 396 + -4x + 4x + x2 + -1x2 Combine like terms: -396 + 396 = 0 396 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2 396 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 396 + 4x + -1x2 = 0 + x2 + -1x2 396 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 396 + 4x + -1x2 = 0 Factor a trinomial. (22 + -1x)(18 + 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {22, -18}
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