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Simplifying -20xy + -4x2 + 4x = 0 Reorder the terms: 4x + -20xy + -4x2 = 0 Solving 4x + -20xy + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + -5y + -1x) = 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 '(1 + -5y + -1x)' equal to zero and attempt to solve: Simplifying 1 + -5y + -1x = 0 Reorder the terms: 1 + -1x + -5y = 0 Solving 1 + -1x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1x + -1 + -5y = 0 + -1 Reorder the terms: 1 + -1 + -1x + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + -5y = 0 + -1 -1x + -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + -5y = -1 Add '5y' to each side of the equation. -1x + -5y + 5y = -1 + 5y Combine like terms: -5y + 5y = 0 -1x + 0 = -1 + 5y -1x = -1 + 5y Divide each side by '-1'. x = 1 + -5y Simplifying x = 1 + -5ySolution
x = {0, 1 + -5y}
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