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Simplifying 5X2 + -8X = 3X + -17X2 Reorder the terms: -8X + 5X2 = 3X + -17X2 Solving -8X + 5X2 = 3X + -17X2 Solving for variable 'X'. Reorder the terms: -8X + -3X + 5X2 + 17X2 = 3X + -17X2 + -3X + 17X2 Combine like terms: -8X + -3X = -11X -11X + 5X2 + 17X2 = 3X + -17X2 + -3X + 17X2 Combine like terms: 5X2 + 17X2 = 22X2 -11X + 22X2 = 3X + -17X2 + -3X + 17X2 Reorder the terms: -11X + 22X2 = 3X + -3X + -17X2 + 17X2 Combine like terms: 3X + -3X = 0 -11X + 22X2 = 0 + -17X2 + 17X2 -11X + 22X2 = -17X2 + 17X2 Combine like terms: -17X2 + 17X2 = 0 -11X + 22X2 = 0 Factor out the Greatest Common Factor (GCF), '11X'. 11X(-1 + 2X) = 0 Ignore the factor 11.Subproblem 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 '(-1 + 2X)' equal to zero and attempt to solve: Simplifying -1 + 2X = 0 Solving -1 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2X = 0 + 1 2X = 0 + 1 Combine like terms: 0 + 1 = 1 2X = 1 Divide each side by '2'. X = 0.5 Simplifying X = 0.5Solution
X = {0, 0.5}
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