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Simplifying 2x(5x + -1y) = 0 (5x * 2x + -1y * 2x) = 0 Reorder the terms: (-2xy + 10x2) = 0 (-2xy + 10x2) = 0 Solving -2xy + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1y + 5x) = 0 Ignore the factor 2.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 '(-1y + 5x)' equal to zero and attempt to solve: Simplifying -1y + 5x = 0 Reorder the terms: 5x + -1y = 0 Solving 5x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y = 0 + y Combine like terms: -1y + y = 0 5x + 0 = 0 + y 5x = 0 + y Remove the zero: 5x = y Divide each side by '5'. x = 0.2y Simplifying x = 0.2ySolution
x = {0, 0.2y}
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