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Simplifying 4a2 + 12ap + 9p2 = 0 Reorder the terms: 12ap + 4a2 + 9p2 = 0 Solving 12ap + 4a2 + 9p2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 3p)(2a + 3p) = 0Subproblem 1
Set the factor '(2a + 3p)' equal to zero and attempt to solve: Simplifying 2a + 3p = 0 Solving 2a + 3p = 0 Move all terms containing a to the left, all other terms to the right. Add '-3p' to each side of the equation. 2a + 3p + -3p = 0 + -3p Combine like terms: 3p + -3p = 0 2a + 0 = 0 + -3p 2a = 0 + -3p Remove the zero: 2a = -3p Divide each side by '2'. a = -1.5p Simplifying a = -1.5pSubproblem 2
Set the factor '(2a + 3p)' equal to zero and attempt to solve: Simplifying 2a + 3p = 0 Solving 2a + 3p = 0 Move all terms containing a to the left, all other terms to the right. Add '-3p' to each side of the equation. 2a + 3p + -3p = 0 + -3p Combine like terms: 3p + -3p = 0 2a + 0 = 0 + -3p 2a = 0 + -3p Remove the zero: 2a = -3p Divide each side by '2'. a = -1.5p Simplifying a = -1.5pSolution
a = {-1.5p, -1.5p}
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