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Simplifying 0 = -5X2 + 33X Reorder the terms: 0 = 33X + -5X2 Solving 0 = 33X + -5X2 Solving for variable 'X'. Remove the zero: -33X + 5X2 = 33X + -5X2 + -33X + 5X2 Reorder the terms: -33X + 5X2 = 33X + -33X + -5X2 + 5X2 Combine like terms: 33X + -33X = 0 -33X + 5X2 = 0 + -5X2 + 5X2 -33X + 5X2 = -5X2 + 5X2 Combine like terms: -5X2 + 5X2 = 0 -33X + 5X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-33 + 5X) = 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 '(-33 + 5X)' equal to zero and attempt to solve: Simplifying -33 + 5X = 0 Solving -33 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 5X = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 5X = 0 + 33 5X = 0 + 33 Combine like terms: 0 + 33 = 33 5X = 33 Divide each side by '5'. X = 6.6 Simplifying X = 6.6Solution
X = {0, 6.6}
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