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Simplifying x2 + 4x + 12 = 16x + -24 Reorder the terms: 12 + 4x + x2 = 16x + -24 Reorder the terms: 12 + 4x + x2 = -24 + 16x Solving 12 + 4x + x2 = -24 + 16x Solving for variable 'x'. Reorder the terms: 12 + 24 + 4x + -16x + x2 = -24 + 16x + 24 + -16x Combine like terms: 12 + 24 = 36 36 + 4x + -16x + x2 = -24 + 16x + 24 + -16x Combine like terms: 4x + -16x = -12x 36 + -12x + x2 = -24 + 16x + 24 + -16x Reorder the terms: 36 + -12x + x2 = -24 + 24 + 16x + -16x Combine like terms: -24 + 24 = 0 36 + -12x + x2 = 0 + 16x + -16x 36 + -12x + x2 = 16x + -16x Combine like terms: 16x + -16x = 0 36 + -12x + x2 = 0 Factor a trinomial. (6 + -1x)(6 + -1x) = 0Subproblem 1
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 = 6Subproblem 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 = {6, 6}
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