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Simplifying 40 = X2 + -10X + 16 Reorder the terms: 40 = 16 + -10X + X2 Solving 40 = 16 + -10X + X2 Solving for variable 'X'. Combine like terms: 40 + -16 = 24 24 + 10X + -1X2 = 16 + -10X + X2 + -16 + 10X + -1X2 Reorder the terms: 24 + 10X + -1X2 = 16 + -16 + -10X + 10X + X2 + -1X2 Combine like terms: 16 + -16 = 0 24 + 10X + -1X2 = 0 + -10X + 10X + X2 + -1X2 24 + 10X + -1X2 = -10X + 10X + X2 + -1X2 Combine like terms: -10X + 10X = 0 24 + 10X + -1X2 = 0 + X2 + -1X2 24 + 10X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 24 + 10X + -1X2 = 0 Factor a trinomial. (12 + -1X)(2 + X) = 0Subproblem 1
Set the factor '(12 + -1X)' equal to zero and attempt to solve: Simplifying 12 + -1X = 0 Solving 12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1X = 0 + -12 -1X = 0 + -12 Combine like terms: 0 + -12 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {12, -2}
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