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Simplifying 25a2 + -60ap + 36p2 = 0 Reorder the terms: -60ap + 25a2 + 36p2 = 0 Solving -60ap + 25a2 + 36p2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -6p)(5a + -6p) = 0Subproblem 1
Set the factor '(5a + -6p)' equal to zero and attempt to solve: Simplifying 5a + -6p = 0 Solving 5a + -6p = 0 Move all terms containing a to the left, all other terms to the right. Add '6p' to each side of the equation. 5a + -6p + 6p = 0 + 6p Combine like terms: -6p + 6p = 0 5a + 0 = 0 + 6p 5a = 0 + 6p Remove the zero: 5a = 6p Divide each side by '5'. a = 1.2p Simplifying a = 1.2pSubproblem 2
Set the factor '(5a + -6p)' equal to zero and attempt to solve: Simplifying 5a + -6p = 0 Solving 5a + -6p = 0 Move all terms containing a to the left, all other terms to the right. Add '6p' to each side of the equation. 5a + -6p + 6p = 0 + 6p Combine like terms: -6p + 6p = 0 5a + 0 = 0 + 6p 5a = 0 + 6p Remove the zero: 5a = 6p Divide each side by '5'. a = 1.2p Simplifying a = 1.2pSolution
a = {1.2p, 1.2p}
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