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Simplifying x4 + -5ax2 + 4a2 = 0 Reorder the terms: -5ax2 + 4a2 + x4 = 0 Solving -5ax2 + 4a2 + x4 = 0 Solving for variable 'a'. Factor a trinomial. (a + -1x2)(4a + -1x2) = 0Subproblem 1
Set the factor '(a + -1x2)' equal to zero and attempt to solve: Simplifying a + -1x2 = 0 Solving a + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. a + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 a + 0 = 0 + x2 a = 0 + x2 Remove the zero: a = x2 Simplifying a = x2Subproblem 2
Set the factor '(4a + -1x2)' equal to zero and attempt to solve: Simplifying 4a + -1x2 = 0 Solving 4a + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. 4a + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 4a + 0 = 0 + x2 4a = 0 + x2 Remove the zero: 4a = x2 Divide each side by '4'. a = 0.25x2 Simplifying a = 0.25x2Solution
a = {x2, 0.25x2}
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