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Simplifying (-1a2 + -9)(a2 + 9) = 0 Reorder the terms: (-9 + -1a2)(a2 + 9) = 0 Reorder the terms: (-9 + -1a2)(9 + a2) = 0 Multiply (-9 + -1a2) * (9 + a2) (-9(9 + a2) + -1a2 * (9 + a2)) = 0 ((9 * -9 + a2 * -9) + -1a2 * (9 + a2)) = 0 ((-81 + -9a2) + -1a2 * (9 + a2)) = 0 (-81 + -9a2 + (9 * -1a2 + a2 * -1a2)) = 0 (-81 + -9a2 + (-9a2 + -1a4)) = 0 Combine like terms: -9a2 + -9a2 = -18a2 (-81 + -18a2 + -1a4) = 0 Solving -81 + -18a2 + -1a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(81 + 18a2 + a4) = 0 Factor a trinomial. -1((9 + a2)(9 + a2)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + a2)' equal to zero and attempt to solve: Simplifying 9 + a2 = 0 Solving 9 + a2 = 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 + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2 = 0 + -9 a2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2 = -9 Simplifying a2 = -9 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 '(9 + a2)' equal to zero and attempt to solve: Simplifying 9 + a2 = 0 Solving 9 + a2 = 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 + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2 = 0 + -9 a2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2 = -9 Simplifying a2 = -9 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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