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Simplifying 40 = 2X + 2X2 Solving 40 = 2X + 2X2 Solving for variable 'X'. Reorder the terms: 40 + -2X + -2X2 = 2X + -2X + 2X2 + -2X2 Combine like terms: 2X + -2X = 0 40 + -2X + -2X2 = 0 + 2X2 + -2X2 40 + -2X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 40 + -2X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -1X + -1X2) = 0 Factor a trinomial. 2((4 + -1X)(5 + X)) = 0 Ignore the factor 2.Subproblem 1
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 = 4Subproblem 2
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 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 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Solution
X = {4, -5}
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