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Simplifying 126 = 2X2 + 8X + 6 Reorder the terms: 126 = 6 + 8X + 2X2 Solving 126 = 6 + 8X + 2X2 Solving for variable 'X'. Combine like terms: 126 + -6 = 120 120 + -8X + -2X2 = 6 + 8X + 2X2 + -6 + -8X + -2X2 Reorder the terms: 120 + -8X + -2X2 = 6 + -6 + 8X + -8X + 2X2 + -2X2 Combine like terms: 6 + -6 = 0 120 + -8X + -2X2 = 0 + 8X + -8X + 2X2 + -2X2 120 + -8X + -2X2 = 8X + -8X + 2X2 + -2X2 Combine like terms: 8X + -8X = 0 120 + -8X + -2X2 = 0 + 2X2 + -2X2 120 + -8X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 120 + -8X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -4X + -1X2) = 0 Factor a trinomial. 2((6 + -1X)(10 + X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Subproblem 2
Set the factor '(10 + X)' equal to zero and attempt to solve: Simplifying 10 + X = 0 Solving 10 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X = 0 + -10 X = 0 + -10 Combine like terms: 0 + -10 = -10 X = -10 Simplifying X = -10Solution
X = {6, -10}
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