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Simplifying 2x4 + -32y12 = 0 Solving 2x4 + -32y12 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32y12' to each side of the equation. 2x4 + -32y12 + 32y12 = 0 + 32y12 Combine like terms: -32y12 + 32y12 = 0 2x4 + 0 = 0 + 32y12 2x4 = 0 + 32y12 Remove the zero: 2x4 = 32y12 Divide each side by '2'. x4 = 16y12 Simplifying x4 = 16y12 Combine like terms: 16y12 + -16y12 = 0 x4 + -16y12 = 0 Factor a difference between two squares. (x2 + 4y6)(x2 + -4y6) = 0 Factor a difference between two squares. (x2 + 4y6)((x + 2y3)(x + -2y3)) = 0Subproblem 1
Set the factor '(x2 + 4y6)' equal to zero and attempt to solve: Simplifying x2 + 4y6 = 0 Solving x2 + 4y6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y6' to each side of the equation. x2 + 4y6 + -4y6 = 0 + -4y6 Combine like terms: 4y6 + -4y6 = 0 x2 + 0 = 0 + -4y6 x2 = 0 + -4y6 Remove the zero: x2 = -4y6 Simplifying x2 = -4y6 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 + 2y3)' equal to zero and attempt to solve: Simplifying x + 2y3 = 0 Solving x + 2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y3' to each side of the equation. x + 2y3 + -2y3 = 0 + -2y3 Combine like terms: 2y3 + -2y3 = 0 x + 0 = 0 + -2y3 x = 0 + -2y3 Remove the zero: x = -2y3 Simplifying x = -2y3Subproblem 3
Set the factor '(x + -2y3)' equal to zero and attempt to solve: Simplifying x + -2y3 = 0 Solving x + -2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y3' to each side of the equation. x + -2y3 + 2y3 = 0 + 2y3 Combine like terms: -2y3 + 2y3 = 0 x + 0 = 0 + 2y3 x = 0 + 2y3 Remove the zero: x = 2y3 Simplifying x = 2y3Solution
x = {-2y3, 2y3}
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