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Simplifying X * X + 2X + -8 = 7 Multiply X * X X2 + 2X + -8 = 7 Reorder the terms: -8 + 2X + X2 = 7 Solving -8 + 2X + X2 = 7 Solving for variable 'X'. Reorder the terms: -8 + -7 + 2X + X2 = 7 + -7 Combine like terms: -8 + -7 = -15 -15 + 2X + X2 = 7 + -7 Combine like terms: 7 + -7 = 0 -15 + 2X + X2 = 0 Factor a trinomial. (-5 + -1X)(3 + -1X) = 0Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve: Simplifying -5 + -1X = 0 Solving -5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1X = 0 + 5 -1X = 0 + 5 Combine like terms: 0 + 5 = 5 -1X = 5 Divide each side by '-1'. X = -5 Simplifying X = -5Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {-5, 3}
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