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Simplifying 3ap2 + 6ap + -297a = 0 Reorder the terms: -297a + 6ap + 3ap2 = 0 Solving -297a + 6ap + 3ap2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-99 + 2p + p2) = 0 Factor a trinomial. 3a((-11 + -1p)(9 + -1p)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-11 + -1p)' equal to zero and attempt to solve: Simplifying -11 + -1p = 0 Solving -11 + -1p = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1p = 0 + 11 -1p = 0 + 11 Combine like terms: 0 + 11 = 11 -1p = 11 Add 'p' to each side of the equation. -1p + p = 11 + p Combine like terms: -1p + p = 0 0 = 11 + p Simplifying 0 = 11 + p 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 '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 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 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Add 'p' to each side of the equation. -1p + p = -9 + p Combine like terms: -1p + p = 0 0 = -9 + p Simplifying 0 = -9 + p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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