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Simplifying 2x4y + -1250y5 = 0 Solving 2x4y + -1250y5 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1250y5' to each side of the equation. 2x4y + -1250y5 + 1250y5 = 0 + 1250y5 Combine like terms: -1250y5 + 1250y5 = 0 2x4y + 0 = 0 + 1250y5 2x4y = 0 + 1250y5 Remove the zero: 2x4y = 1250y5 Divide each side by '2y'. x4 = 625y4 Simplifying x4 = 625y4 Combine like terms: 625y4 + -625y4 = 0 x4 + -625y4 = 0 Factor a difference between two squares. (x2 + 25y2)(x2 + -25y2) = 0 Factor a difference between two squares. (x2 + 25y2)((x + 5y)(x + -5y)) = 0Subproblem 1
Set the factor '(x2 + 25y2)' equal to zero and attempt to solve: Simplifying x2 + 25y2 = 0 Solving x2 + 25y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25y2' to each side of the equation. x2 + 25y2 + -25y2 = 0 + -25y2 Combine like terms: 25y2 + -25y2 = 0 x2 + 0 = 0 + -25y2 x2 = 0 + -25y2 Remove the zero: x2 = -25y2 Simplifying x2 = -25y2 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 '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySubproblem 3
Set the factor '(x + -5y)' equal to zero and attempt to solve: Simplifying x + -5y = 0 Solving x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 x + 0 = 0 + 5y x = 0 + 5y Remove the zero: x = 5y Simplifying x = 5ySolution
x = {-5y, 5y}
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