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Simplifying 5x2(-2x2 + -2y) = 0 (-2x2 * 5x2 + -2y * 5x2) = 0 Reorder the terms: (-10x2y + -10x4) = 0 (-10x2y + -10x4) = 0 Solving -10x2y + -10x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-10x2'. -10x2(y + x2) = 0 Ignore the factor -10.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(y + x2)' equal to zero and attempt to solve: Simplifying y + x2 = 0 Reorder the terms: x2 + y = 0 Solving x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x2 + 0 = 0 + -1y x2 = 0 + -1y Remove the zero: x2 = -1y Simplifying x2 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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