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Simplifying 4x4 + -64y8 = 0 Solving 4x4 + -64y8 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64y8' to each side of the equation. 4x4 + -64y8 + 64y8 = 0 + 64y8 Combine like terms: -64y8 + 64y8 = 0 4x4 + 0 = 0 + 64y8 4x4 = 0 + 64y8 Remove the zero: 4x4 = 64y8 Divide each side by '4'. x4 = 16y8 Simplifying x4 = 16y8 Combine like terms: 16y8 + -16y8 = 0 x4 + -16y8 = 0 Factor a difference between two squares. (x2 + 4y4)(x2 + -4y4) = 0 Factor a difference between two squares. (x2 + 4y4)((x + 2y2)(x + -2y2)) = 0Subproblem 1
Set the factor '(x2 + 4y4)' equal to zero and attempt to solve: Simplifying x2 + 4y4 = 0 Solving x2 + 4y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y4' to each side of the equation. x2 + 4y4 + -4y4 = 0 + -4y4 Combine like terms: 4y4 + -4y4 = 0 x2 + 0 = 0 + -4y4 x2 = 0 + -4y4 Remove the zero: x2 = -4y4 Simplifying x2 = -4y4 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 + 2y2)' equal to zero and attempt to solve: Simplifying x + 2y2 = 0 Solving x + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. x + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 x + 0 = 0 + -2y2 x = 0 + -2y2 Remove the zero: x = -2y2 Simplifying x = -2y2Subproblem 3
Set the factor '(x + -2y2)' equal to zero and attempt to solve: Simplifying x + -2y2 = 0 Solving x + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. x + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 x + 0 = 0 + 2y2 x = 0 + 2y2 Remove the zero: x = 2y2 Simplifying x = 2y2Solution
x = {-2y2, 2y2}
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