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Simplifying x2 + 2x + 24 = 12x Reorder the terms: 24 + 2x + x2 = 12x Solving 24 + 2x + x2 = 12x Solving for variable 'x'. Reorder the terms: 24 + 2x + -12x + x2 = 12x + -12x Combine like terms: 2x + -12x = -10x 24 + -10x + x2 = 12x + -12x Combine like terms: 12x + -12x = 0 24 + -10x + x2 = 0 Factor a trinomial. (4 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {4, 6}
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