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Simplifying X4 * Y6 = 40000 Multiply X4 * Y6 X4Y6 = 40000 Solving X4Y6 = 40000 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Divide each side by 'Y6'. X4 = 40000Y-6 Simplifying X4 = 40000Y-6 Combine like terms: 40000Y-6 + -40000Y-6 = 0 X4 + -40000Y-6 = 0 Factor out the Greatest Common Factor (GCF), 'Y-6'. Y-6(X4Y6 + -40000) = 0 Factor a difference between two squares. Y-6((X2Y3 + 200)(X2Y3 + -200)) = 0Subproblem 1
Set the factor 'Y-6' equal to zero and attempt to solve: Simplifying Y-6 = 0 Solving Y-6 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1Y-6' to each side of the equation. Y-6 + -1Y-6 = 0 + -1Y-6 Remove the zero: 0 = -1Y-6 Simplifying 0 = -1Y-6 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 '(X2Y3 + 200)' equal to zero and attempt to solve: Simplifying X2Y3 + 200 = 0 Reorder the terms: 200 + X2Y3 = 0 Solving 200 + X2Y3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + X2Y3 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + X2Y3 = 0 + -200 X2Y3 = 0 + -200 Combine like terms: 0 + -200 = -200 X2Y3 = -200 Divide each side by 'Y3'. X2 = -200Y-3 Simplifying X2 = -200Y-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(X2Y3 + -200)' equal to zero and attempt to solve: Simplifying X2Y3 + -200 = 0 Reorder the terms: -200 + X2Y3 = 0 Solving -200 + X2Y3 = 0 Move all terms containing X to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + X2Y3 = 0 + 200 Combine like terms: -200 + 200 = 0 0 + X2Y3 = 0 + 200 X2Y3 = 0 + 200 Combine like terms: 0 + 200 = 200 X2Y3 = 200 Divide each side by 'Y3'. X2 = 200Y-3 Simplifying X2 = 200Y-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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