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Simplifying 4a2 + -4ap + p2 = 0 Reorder the terms: -4ap + 4a2 + p2 = 0 Solving -4ap + 4a2 + p2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -1p)(2a + -1p) = 0Subproblem 1
Set the factor '(2a + -1p)' equal to zero and attempt to solve: Simplifying 2a + -1p = 0 Solving 2a + -1p = 0 Move all terms containing a to the left, all other terms to the right. Add 'p' to each side of the equation. 2a + -1p + p = 0 + p Combine like terms: -1p + p = 0 2a + 0 = 0 + p 2a = 0 + p Remove the zero: 2a = p Divide each side by '2'. a = 0.5p Simplifying a = 0.5pSubproblem 2
Set the factor '(2a + -1p)' equal to zero and attempt to solve: Simplifying 2a + -1p = 0 Solving 2a + -1p = 0 Move all terms containing a to the left, all other terms to the right. Add 'p' to each side of the equation. 2a + -1p + p = 0 + p Combine like terms: -1p + p = 0 2a + 0 = 0 + p 2a = 0 + p Remove the zero: 2a = p Divide each side by '2'. a = 0.5p Simplifying a = 0.5pSolution
a = {0.5p, 0.5p}
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