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Simplifying 0 = x2 + 12x + -1120 Reorder the terms: 0 = -1120 + 12x + x2 Solving 0 = -1120 + 12x + x2 Solving for variable 'x'. Combine like terms: 0 + 1120 = 1120 1120 + -12x + -1x2 = -1120 + 12x + x2 + 1120 + -12x + -1x2 Reorder the terms: 1120 + -12x + -1x2 = -1120 + 1120 + 12x + -12x + x2 + -1x2 Combine like terms: -1120 + 1120 = 0 1120 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2 1120 + -12x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 1120 + -12x + -1x2 = 0 + x2 + -1x2 1120 + -12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1120 + -12x + -1x2 = 0 Factor a trinomial. (28 + -1x)(40 + x) = 0Subproblem 1
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {28, -40}
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