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Simplifying (a2 + 3b)(a2 + -3b) = 0 Multiply (a2 + 3b) * (a2 + -3b) (a2(a2 + -3b) + 3b * (a2 + -3b)) = 0 ((a2 * a2 + -3b * a2) + 3b * (a2 + -3b)) = 0 Reorder the terms: ((-3a2b + a4) + 3b * (a2 + -3b)) = 0 ((-3a2b + a4) + 3b * (a2 + -3b)) = 0 (-3a2b + a4 + (a2 * 3b + -3b * 3b)) = 0 (-3a2b + a4 + (3a2b + -9b2)) = 0 Reorder the terms: (-3a2b + 3a2b + a4 + -9b2) = 0 Combine like terms: -3a2b + 3a2b = 0 (0 + a4 + -9b2) = 0 (a4 + -9b2) = 0 Solving a4 + -9b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b2' to each side of the equation. a4 + -9b2 + 9b2 = 0 + 9b2 Combine like terms: -9b2 + 9b2 = 0 a4 + 0 = 0 + 9b2 a4 = 0 + 9b2 Remove the zero: a4 = 9b2 Simplifying a4 = 9b2 Combine like terms: 9b2 + -9b2 = 0 a4 + -9b2 = 0 Factor a difference between two squares. (a2 + 3b)(a2 + -3b) = 0Subproblem 1
Set the factor '(a2 + 3b)' equal to zero and attempt to solve: Simplifying a2 + 3b = 0 Solving a2 + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a2 + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a2 + 0 = 0 + -3b a2 = 0 + -3b Remove the zero: a2 = -3b Simplifying a2 = -3b 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 '(a2 + -3b)' equal to zero and attempt to solve: Simplifying a2 + -3b = 0 Solving a2 + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. a2 + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 a2 + 0 = 0 + 3b a2 = 0 + 3b Remove the zero: a2 = 3b Simplifying a2 = 3b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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