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Simplifying 6a4 + -6 = 0 Reorder the terms: -6 + 6a4 = 0 Solving -6 + 6a4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6a4 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6a4 = 0 + 6 6a4 = 0 + 6 Combine like terms: 0 + 6 = 6 6a4 = 6 Divide each side by '6'. a4 = 1 Simplifying a4 = 1 Reorder the terms: -1 + a4 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + a4 = 0 Factor a difference between two squares. (1 + a2)(-1 + a2) = 0 Factor a difference between two squares. (1 + a2)((1 + a)(-1 + a)) = 0Subproblem 1
Set the factor '(1 + a2)' equal to zero and attempt to solve: Simplifying 1 + a2 = 0 Solving 1 + a2 = 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 + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a2 = 0 + -1 a2 = 0 + -1 Combine like terms: 0 + -1 = -1 a2 = -1 Simplifying a2 = -1 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 '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 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 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Subproblem 3
Set the factor '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 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 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1Solution
a = {-1, 1}
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