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Simplifying X4 = Y24 Solving X4 = Y24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Simplifying X4 = Y24 Combine like terms: Y24 + -1Y24 = 0 X4 + -1Y24 = 0 Factor a difference between two squares. (X2 + Y12)(X2 + -1Y12) = 0 Factor a difference between two squares. (X2 + Y12)((X + Y6)(X + -1Y6)) = 0Subproblem 1
Set the factor '(X2 + Y12)' equal to zero and attempt to solve: Simplifying X2 + Y12 = 0 Solving X2 + Y12 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1Y12' to each side of the equation. X2 + Y12 + -1Y12 = 0 + -1Y12 Combine like terms: Y12 + -1Y12 = 0 X2 + 0 = 0 + -1Y12 X2 = 0 + -1Y12 Remove the zero: X2 = -1Y12 Simplifying X2 = -1Y12 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 + Y6)' equal to zero and attempt to solve: Simplifying X + Y6 = 0 Solving X + Y6 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1Y6' to each side of the equation. X + Y6 + -1Y6 = 0 + -1Y6 Combine like terms: Y6 + -1Y6 = 0 X + 0 = 0 + -1Y6 X = 0 + -1Y6 Remove the zero: X = -1Y6 Simplifying X = -1Y6Subproblem 3
Set the factor '(X + -1Y6)' equal to zero and attempt to solve: Simplifying X + -1Y6 = 0 Solving X + -1Y6 = 0 Move all terms containing X to the left, all other terms to the right. Add 'Y6' to each side of the equation. X + -1Y6 + Y6 = 0 + Y6 Combine like terms: -1Y6 + Y6 = 0 X + 0 = 0 + Y6 X = 0 + Y6 Remove the zero: X = Y6 Simplifying X = Y6Solution
X = {-1Y6, Y6}
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