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Simplifying 4x5y7 + -1x7y5 = 0 Solving 4x5y7 + -1x7y5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x5y5'. x5y5(4y2 + -1x2) = 0 Factor a difference between two squares. x5y5((2y + x)(2y + -1x)) = 0Subproblem 1
Set the factor 'x5y5' equal to zero and attempt to solve: Simplifying x5y5 = 0 Solving x5y5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2y + x)' equal to zero and attempt to solve: Simplifying 2y + x = 0 Reorder the terms: x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySubproblem 3
Set the factor '(2y + -1x)' equal to zero and attempt to solve: Simplifying 2y + -1x = 0 Reorder the terms: -1x + 2y = 0 Solving -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 0 + -2y -1x = 0 + -2y Remove the zero: -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2ySolution
x = {-2y, 2y}
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