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Simplifying 4p2a + 9pa + 2a = 0 Reorder the terms: 2a + 9ap + 4ap2 = 0 Solving 2a + 9ap + 4ap2 = 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), 'a'. a(2 + 9p + 4p2) = 0 Factor a trinomial. a((2 + p)(1 + 4p)) = 0Subproblem 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 '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Add '-1p' to each side of the equation. p + -1p = -2 + -1p Combine like terms: p + -1p = 0 0 = -2 + -1p Simplifying 0 = -2 + -1p 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 '(1 + 4p)' equal to zero and attempt to solve: Simplifying 1 + 4p = 0 Solving 1 + 4p = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 0 + -1 4p = 0 + -1 Combine like terms: 0 + -1 = -1 4p = -1 Add '-4p' to each side of the equation. 4p + -4p = -1 + -4p Combine like terms: 4p + -4p = 0 0 = -1 + -4p Simplifying 0 = -1 + -4p 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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