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Simplifying X + X2 + 7 = 9 Reorder the terms: 7 + X + X2 = 9 Solving 7 + X + X2 = 9 Solving for variable 'X'. Reorder the terms: 7 + -9 + X + X2 = 9 + -9 Combine like terms: 7 + -9 = -2 -2 + X + X2 = 9 + -9 Combine like terms: 9 + -9 = 0 -2 + X + X2 = 0 Factor a trinomial. (-2 + -1X)(1 + -1X) = 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 '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Solution
X = {-2, 1}
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