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