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Simplifying 0 = x2 + 12x + -28 Reorder the terms: 0 = -28 + 12x + x2 Solving 0 = -28 + 12x + x2 Solving for variable 'x'. Combine like terms: 0 + 28 = 28 28 + -12x + -1x2 = -28 + 12x + x2 + 28 + -12x + -1x2 Reorder the terms: 28 + -12x + -1x2 = -28 + 28 + 12x + -12x + x2 + -1x2 Combine like terms: -28 + 28 = 0 28 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2 28 + -12x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 28 + -12x + -1x2 = 0 + x2 + -1x2 28 + -12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 28 + -12x + -1x2 = 0 Factor a trinomial. (2 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {2, -14}
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