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Simplifying 4ax4 + -22ax2 + 10a = 0 Reorder the terms: 10a + -22ax2 + 4ax4 = 0 Solving 10a + -22ax2 + 4ax4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2a'. 2a(5 + -11x2 + 2x4) = 0 Factor a trinomial. 2a((1 + -2x2)(5 + -1x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + -2x2)' equal to zero and attempt to solve: Simplifying 1 + -2x2 = 0 Solving 1 + -2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x2 = 0 + -1 -2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2x2 = -1 Add '2x2' to each side of the equation. -2x2 + 2x2 = -1 + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 = -1 + 2x2 Simplifying 0 = -1 + 2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + -1x2 = 0 Solving 5 + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 = 0 + -5 -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 = -5 Add 'x2' to each side of the equation. -1x2 + x2 = -5 + x2 Combine like terms: -1x2 + x2 = 0 0 = -5 + x2 Simplifying 0 = -5 + x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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