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Simplifying ap + -1p + 2a + p + ap = 0 Reorder the terms: 2a + ap + ap + -1p + p = 0 Combine like terms: ap + ap = 2ap 2a + 2ap + -1p + p = 0 Combine like terms: -1p + p = 0 2a + 2ap + 0 = 0 2a + 2ap = 0 Solving 2a + 2ap = 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), '2a'. 2a(1 + p) = 0 Ignore the factor 2.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 '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Add '-1p' to each side of the equation. p + -1p = -1 + -1p Combine like terms: p + -1p = 0 0 = -1 + -1p Simplifying 0 = -1 + -1p 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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