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Simplifying a2 + 3ap + -40p2 = 0 Reorder the terms: 3ap + a2 + -40p2 = 0 Solving 3ap + a2 + -40p2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -5p)(a + 8p) = 0Subproblem 1
Set the factor '(a + -5p)' equal to zero and attempt to solve: Simplifying a + -5p = 0 Solving a + -5p = 0 Move all terms containing a to the left, all other terms to the right. Add '5p' to each side of the equation. a + -5p + 5p = 0 + 5p Combine like terms: -5p + 5p = 0 a + 0 = 0 + 5p a = 0 + 5p Remove the zero: a = 5p Simplifying a = 5pSubproblem 2
Set the factor '(a + 8p)' equal to zero and attempt to solve: Simplifying a + 8p = 0 Solving a + 8p = 0 Move all terms containing a to the left, all other terms to the right. Add '-8p' to each side of the equation. a + 8p + -8p = 0 + -8p Combine like terms: 8p + -8p = 0 a + 0 = 0 + -8p a = 0 + -8p Remove the zero: a = -8p Simplifying a = -8pSolution
a = {5p, -8p}
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