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Simplifying 4X(2X + -17) = 0 Reorder the terms: 4X(-17 + 2X) = 0 (-17 * 4X + 2X * 4X) = 0 (-68X + 8X2) = 0 Solving -68X + 8X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4X'. 4X(-17 + 2X) = 0 Ignore the factor 4.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 '(-17 + 2X)' equal to zero and attempt to solve: Simplifying -17 + 2X = 0 Solving -17 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2X = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2X = 0 + 17 2X = 0 + 17 Combine like terms: 0 + 17 = 17 2X = 17 Divide each side by '2'. X = 8.5 Simplifying X = 8.5Solution
X = {0, 8.5}
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