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Simplifying x = (4x3y4) Solving x = (4x3y4) Solving for variable 'x'. Combine like terms: (4x3y4) + (-4x3y4) = 0 x + (-4x3y4) = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + (-4x2y4)) = 0 Factor a difference between two squares. x((1 + (2xy2))(1 + (-2xy2))) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + (2xy2))' equal to zero and attempt to solve: Simplifying 1 + (2xy2) = 0 Solving 1 + (2xy2) = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + (2xy2) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (2xy2) = 0 + -1 (2xy2) = 0 + -1 Combine like terms: 0 + -1 = -1 (2xy2) = -1 Divide each side by '(2y2)'. x = -0.5y-2 Simplifying x = -0.5y-2Subproblem 3
Set the factor '(1 + (-2xy2))' equal to zero and attempt to solve: Simplifying 1 + (-2xy2) = 0 Solving 1 + (-2xy2) = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + (-2xy2) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (-2xy2) = 0 + -1 (-2xy2) = 0 + -1 Combine like terms: 0 + -1 = -1 (-2xy2) = -1 Divide each side by '(-2y2)'. x = 0.5y-2 Simplifying x = 0.5y-2Solution
x = {0, -0.5y-2, 0.5y-2}
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