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Simplifying 9a2 + -24ap + 16p2 = 0 Reorder the terms: -24ap + 9a2 + 16p2 = 0 Solving -24ap + 9a2 + 16p2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -4p)(3a + -4p) = 0Subproblem 1
Set the factor '(3a + -4p)' equal to zero and attempt to solve: Simplifying 3a + -4p = 0 Solving 3a + -4p = 0 Move all terms containing a to the left, all other terms to the right. Add '4p' to each side of the equation. 3a + -4p + 4p = 0 + 4p Combine like terms: -4p + 4p = 0 3a + 0 = 0 + 4p 3a = 0 + 4p Remove the zero: 3a = 4p Divide each side by '3'. a = 1.333333333p Simplifying a = 1.333333333pSubproblem 2
Set the factor '(3a + -4p)' equal to zero and attempt to solve: Simplifying 3a + -4p = 0 Solving 3a + -4p = 0 Move all terms containing a to the left, all other terms to the right. Add '4p' to each side of the equation. 3a + -4p + 4p = 0 + 4p Combine like terms: -4p + 4p = 0 3a + 0 = 0 + 4p 3a = 0 + 4p Remove the zero: 3a = 4p Divide each side by '3'. a = 1.333333333p Simplifying a = 1.333333333pSolution
a = {1.333333333p, 1.333333333p}
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