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Simplifying X2 + 2X + -1 = 62 Reorder the terms: -1 + 2X + X2 = 62 Solving -1 + 2X + X2 = 62 Solving for variable 'X'. Reorder the terms: -1 + -62 + 2X + X2 = 62 + -62 Combine like terms: -1 + -62 = -63 -63 + 2X + X2 = 62 + -62 Combine like terms: 62 + -62 = 0 -63 + 2X + X2 = 0 Factor a trinomial. (-9 + -1X)(7 + -1X) = 0Subproblem 1
Set the factor '(-9 + -1X)' equal to zero and attempt to solve: Simplifying -9 + -1X = 0 Solving -9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1X = 0 + 9 -1X = 0 + 9 Combine like terms: 0 + 9 = 9 -1X = 9 Divide each side by '-1'. X = -9 Simplifying X = -9Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {-9, 7}
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