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Simplifying 6ap = 8a + ap2 Solving 6ap = 8a + ap2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -8a + 6ap = 8a + -8a + ap2 Combine like terms: 8a + -8a = 0 -8a + 6ap = 0 + ap2 -8a + 6ap = ap2 Add '-1ap2' to each side of the equation. -8a + 6ap + -1ap2 = ap2 + -1ap2 Combine like terms: ap2 + -1ap2 = 0 -8a + 6ap + -1ap2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-8 + 6p + -1p2) = 0 Factor a trinomial. a((-4 + p)(2 + -1p)) = 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 '(-4 + p)' equal to zero and attempt to solve: Simplifying -4 + p = 0 Solving -4 + p = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + p = 0 + 4 p = 0 + 4 Combine like terms: 0 + 4 = 4 p = 4 Add '-1p' to each side of the equation. p + -1p = 4 + -1p Combine like terms: p + -1p = 0 0 = 4 + -1p Simplifying 0 = 4 + -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 '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Add 'p' to each side of the equation. -1p + p = -2 + p Combine like terms: -1p + p = 0 0 = -2 + p Simplifying 0 = -2 + 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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