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Simplifying (5x4 + 4x2) + -1(x2 + -4x4) = 0 Reorder the terms: (4x2 + 5x4) + -1(x2 + -4x4) = 0 Remove parenthesis around (4x2 + 5x4) 4x2 + 5x4 + -1(x2 + -4x4) = 0 4x2 + 5x4 + (x2 * -1 + -4x4 * -1) = 0 4x2 + 5x4 + (-1x2 + 4x4) = 0 Reorder the terms: 4x2 + -1x2 + 5x4 + 4x4 = 0 Combine like terms: 4x2 + -1x2 = 3x2 3x2 + 5x4 + 4x4 = 0 Combine like terms: 5x4 + 4x4 = 9x4 3x2 + 9x4 = 0 Solving 3x2 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(1 + 3x2) = 0 Ignore the factor 3.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 '(1 + 3x2)' equal to zero and attempt to solve: Simplifying 1 + 3x2 = 0 Solving 1 + 3x2 = 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 + 3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x2 = 0 + -1 3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 3x2 = -1 Divide each side by '3'. x2 = -0.3333333333 Simplifying x2 = -0.3333333333 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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