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Simplifying 2x + 4x3 + 4xy2 = 0 Reorder the terms: 2x + 4xy2 + 4x3 = 0 Solving 2x + 4xy2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + 2y2 + 2x2) = 0 Ignore the factor 2.Subproblem 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 + 2y2 + 2x2)' equal to zero and attempt to solve: Simplifying 1 + 2y2 + 2x2 = 0 Reorder the terms: 1 + 2x2 + 2y2 = 0 Solving 1 + 2x2 + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x2 + -1 + 2y2 = 0 + -1 Reorder the terms: 1 + -1 + 2x2 + 2y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 + 2y2 = 0 + -1 2x2 + 2y2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2 + 2y2 = -1 Add '-2y2' to each side of the equation. 2x2 + 2y2 + -2y2 = -1 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x2 + 0 = -1 + -2y2 2x2 = -1 + -2y2 Divide each side by '2'. x2 = -0.5 + -1y2 Simplifying x2 = -0.5 + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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