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Simplifying a4x4 + 3a2x2 + -28 = 0 Reorder the terms: -28 + 3a2x2 + a4x4 = 0 Solving -28 + 3a2x2 + a4x4 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -1a2x2)(4 + -1a2x2) = 0 Factor a difference between two squares. (-7 + -1a2x2)((2 + ax)(2 + -1ax)) = 0Subproblem 1
Set the factor '(-7 + -1a2x2)' equal to zero and attempt to solve: Simplifying -7 + -1a2x2 = 0 Solving -7 + -1a2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a2x2 = 0 + 7 -1a2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1a2x2 = 7 Divide each side by '-1x2'. a2 = -7x-2 Simplifying a2 = -7x-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + ax)' equal to zero and attempt to solve: Simplifying 2 + ax = 0 Solving 2 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + ax = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ax = 0 + -2 ax = 0 + -2 Combine like terms: 0 + -2 = -2 ax = -2 Divide each side by 'x'. a = -2x-1 Simplifying a = -2x-1Subproblem 3
Set the factor '(2 + -1ax)' equal to zero and attempt to solve: Simplifying 2 + -1ax = 0 Solving 2 + -1ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1ax = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ax = 0 + -2 -1ax = 0 + -2 Combine like terms: 0 + -2 = -2 -1ax = -2 Divide each side by '-1x'. a = 2x-1 Simplifying a = 2x-1Solution
a = {-2x-1, 2x-1}
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