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Simplifying (a2 + 4b)(a2 + -4b) = 0 Multiply (a2 + 4b) * (a2 + -4b) (a2(a2 + -4b) + 4b * (a2 + -4b)) = 0 ((a2 * a2 + -4b * a2) + 4b * (a2 + -4b)) = 0 Reorder the terms: ((-4a2b + a4) + 4b * (a2 + -4b)) = 0 ((-4a2b + a4) + 4b * (a2 + -4b)) = 0 (-4a2b + a4 + (a2 * 4b + -4b * 4b)) = 0 (-4a2b + a4 + (4a2b + -16b2)) = 0 Reorder the terms: (-4a2b + 4a2b + a4 + -16b2) = 0 Combine like terms: -4a2b + 4a2b = 0 (0 + a4 + -16b2) = 0 (a4 + -16b2) = 0 Solving a4 + -16b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b2' to each side of the equation. a4 + -16b2 + 16b2 = 0 + 16b2 Combine like terms: -16b2 + 16b2 = 0 a4 + 0 = 0 + 16b2 a4 = 0 + 16b2 Remove the zero: a4 = 16b2 Simplifying a4 = 16b2 Combine like terms: 16b2 + -16b2 = 0 a4 + -16b2 = 0 Factor a difference between two squares. (a2 + 4b)(a2 + -4b) = 0Subproblem 1
Set the factor '(a2 + 4b)' equal to zero and attempt to solve: Simplifying a2 + 4b = 0 Solving a2 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. a2 + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 a2 + 0 = 0 + -4b a2 = 0 + -4b Remove the zero: a2 = -4b Simplifying a2 = -4b 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 + -4b)' equal to zero and attempt to solve: Simplifying a2 + -4b = 0 Solving a2 + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a2 + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a2 + 0 = 0 + 4b a2 = 0 + 4b Remove the zero: a2 = 4b Simplifying a2 = 4b 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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