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Simplifying 0 = x2 + 10x + -24 Reorder the terms: 0 = -24 + 10x + x2 Solving 0 = -24 + 10x + x2 Solving for variable 'x'. Combine like terms: 0 + 24 = 24 24 + -10x + -1x2 = -24 + 10x + x2 + 24 + -10x + -1x2 Reorder the terms: 24 + -10x + -1x2 = -24 + 24 + 10x + -10x + x2 + -1x2 Combine like terms: -24 + 24 = 0 24 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2 24 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 24 + -10x + -1x2 = 0 + x2 + -1x2 24 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + -10x + -1x2 = 0 Factor a trinomial. (2 + -1x)(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {2, -12}
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