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Simplifying x4y2 = 144 Solving x4y2 = 144 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by 'y2'. x4 = 144y-2 Simplifying x4 = 144y-2 Combine like terms: 144y-2 + -144y-2 = 0 x4 + -144y-2 = 0 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x4y2 + -144) = 0 Factor a difference between two squares. y-2((x2y + 12)(x2y + -12)) = 0Subproblem 1
Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(x2y + 12)' equal to zero and attempt to solve: Simplifying x2y + 12 = 0 Reorder the terms: 12 + x2y = 0 Solving 12 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x2y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2y = 0 + -12 x2y = 0 + -12 Combine like terms: 0 + -12 = -12 x2y = -12 Divide each side by 'y'. x2 = -12y-1 Simplifying x2 = -12y-1 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 '(x2y + -12)' equal to zero and attempt to solve: Simplifying x2y + -12 = 0 Reorder the terms: -12 + x2y = 0 Solving -12 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x2y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x2y = 0 + 12 x2y = 0 + 12 Combine like terms: 0 + 12 = 12 x2y = 12 Divide each side by 'y'. x2 = 12y-1 Simplifying x2 = 12y-1 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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