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Simplifying X * X + 2X = 24 Multiply X * X X2 + 2X = 24 Reorder the terms: 2X + X2 = 24 Solving 2X + X2 = 24 Solving for variable 'X'. Reorder the terms: -24 + 2X + X2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 2X + X2 = 0 Factor a trinomial. (-6 + -1X)(4 + -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 '(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 = 4Solution
X = {-6, 4}
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