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Simplifying 0 = 2(X2 + -4X) + -5X Reorder the terms: 0 = 2(-4X + X2) + -5X 0 = (-4X * 2 + X2 * 2) + -5X 0 = (-8X + 2X2) + -5X Reorder the terms: 0 = -8X + -5X + 2X2 Combine like terms: -8X + -5X = -13X 0 = -13X + 2X2 Solving 0 = -13X + 2X2 Solving for variable 'X'. Remove the zero: 13X + -2X2 = -13X + 2X2 + 13X + -2X2 Reorder the terms: 13X + -2X2 = -13X + 13X + 2X2 + -2X2 Combine like terms: -13X + 13X = 0 13X + -2X2 = 0 + 2X2 + -2X2 13X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 13X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(13 + -2X) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(13 + -2X)' equal to zero and attempt to solve: Simplifying 13 + -2X = 0 Solving 13 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2X = 0 + -13 -2X = 0 + -13 Combine like terms: 0 + -13 = -13 -2X = -13 Divide each side by '-2'. X = 6.5 Simplifying X = 6.5Solution
X = {0, 6.5}
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