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Simplifying A4 + -16a2 = 0 Solving A4 + -16a2 = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '16a2' to each side of the equation. A4 + -16a2 + 16a2 = 0 + 16a2 Combine like terms: -16a2 + 16a2 = 0 A4 + 0 = 0 + 16a2 A4 = 0 + 16a2 Remove the zero: A4 = 16a2 Simplifying A4 = 16a2 Combine like terms: 16a2 + -16a2 = 0 A4 + -16a2 = 0 Factor a difference between two squares. (A2 + 4a)(A2 + -4a) = 0Subproblem 1
Set the factor '(A2 + 4a)' equal to zero and attempt to solve: Simplifying A2 + 4a = 0 Solving A2 + 4a = 0 Move all terms containing A to the left, all other terms to the right. Add '-4a' to each side of the equation. A2 + 4a + -4a = 0 + -4a Combine like terms: 4a + -4a = 0 A2 + 0 = 0 + -4a A2 = 0 + -4a Remove the zero: A2 = -4a Simplifying A2 = -4a 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 + -4a)' equal to zero and attempt to solve: Simplifying A2 + -4a = 0 Solving A2 + -4a = 0 Move all terms containing A to the left, all other terms to the right. Add '4a' to each side of the equation. A2 + -4a + 4a = 0 + 4a Combine like terms: -4a + 4a = 0 A2 + 0 = 0 + 4a A2 = 0 + 4a Remove the zero: A2 = 4a Simplifying A2 = 4a 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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