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Simplifying a4x4 + -81 = 0 Reorder the terms: -81 + a4x4 = 0 Solving -81 + a4x4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + a4x4 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + a4x4 = 0 + 81 a4x4 = 0 + 81 Combine like terms: 0 + 81 = 81 a4x4 = 81 Divide each side by 'x4'. a4 = 81x-4 Simplifying a4 = 81x-4 Combine like terms: 81x-4 + -81x-4 = 0 a4 + -81x-4 = 0 Factor out the Greatest Common Factor (GCF), 'x-4'. x-4(a4x4 + -81) = 0 Factor a difference between two squares. x-4((a2x2 + 9)(a2x2 + -9)) = 0 Factor a difference between two squares. x-4((a2x2 + 9)((ax + 3)(ax + -3))) = 0Subproblem 1
Set the factor 'x-4' equal to zero and attempt to solve: Simplifying x-4 = 0 Solving x-4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x-4' to each side of the equation. x-4 + -1x-4 = 0 + -1x-4 Remove the zero: 0 = -1x-4 Simplifying 0 = -1x-4 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 '(a2x2 + 9)' equal to zero and attempt to solve: Simplifying a2x2 + 9 = 0 Reorder the terms: 9 + a2x2 = 0 Solving 9 + a2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2x2 = 0 + -9 a2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2x2 = -9 Divide each side by 'x2'. a2 = -9x-2 Simplifying a2 = -9x-2 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 '(ax + 3)' equal to zero and attempt to solve: Simplifying ax + 3 = 0 Reorder the terms: 3 + ax = 0 Solving 3 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + ax = 0 + -3 Combine like terms: 3 + -3 = 0 0 + ax = 0 + -3 ax = 0 + -3 Combine like terms: 0 + -3 = -3 ax = -3 Divide each side by 'x'. a = -3x-1 Simplifying a = -3x-1Subproblem 4
Set the factor '(ax + -3)' equal to zero and attempt to solve: Simplifying ax + -3 = 0 Reorder the terms: -3 + ax = 0 Solving -3 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + ax = 0 + 3 Combine like terms: -3 + 3 = 0 0 + ax = 0 + 3 ax = 0 + 3 Combine like terms: 0 + 3 = 3 ax = 3 Divide each side by 'x'. a = 3x-1 Simplifying a = 3x-1Solution
a = {-3x-1, 3x-1}
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