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Simplifying x4 = 4x4 + 4x2 Reorder the terms: x4 = 4x2 + 4x4 Solving x4 = 4x2 + 4x4 Solving for variable 'x'. Reorder the terms: -4x2 + x4 + -4x4 = 4x2 + 4x4 + -4x2 + -4x4 Combine like terms: x4 + -4x4 = -3x4 -4x2 + -3x4 = 4x2 + 4x4 + -4x2 + -4x4 Reorder the terms: -4x2 + -3x4 = 4x2 + -4x2 + 4x4 + -4x4 Combine like terms: 4x2 + -4x2 = 0 -4x2 + -3x4 = 0 + 4x4 + -4x4 -4x2 + -3x4 = 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 -4x2 + -3x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(4 + 3x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(4 + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 3x2 = 0 Solving 4 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2 = 0 + -4 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x2 = -4 Divide each side by '3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 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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