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Simplifying 16a2 + 40ap + 25p2 = 0 Reorder the terms: 40ap + 16a2 + 25p2 = 0 Solving 40ap + 16a2 + 25p2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + 5p)(4a + 5p) = 0Subproblem 1
Set the factor '(4a + 5p)' equal to zero and attempt to solve: Simplifying 4a + 5p = 0 Solving 4a + 5p = 0 Move all terms containing a to the left, all other terms to the right. Add '-5p' to each side of the equation. 4a + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 4a + 0 = 0 + -5p 4a = 0 + -5p Remove the zero: 4a = -5p Divide each side by '4'. a = -1.25p Simplifying a = -1.25pSubproblem 2
Set the factor '(4a + 5p)' equal to zero and attempt to solve: Simplifying 4a + 5p = 0 Solving 4a + 5p = 0 Move all terms containing a to the left, all other terms to the right. Add '-5p' to each side of the equation. 4a + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 4a + 0 = 0 + -5p 4a = 0 + -5p Remove the zero: 4a = -5p Divide each side by '4'. a = -1.25p Simplifying a = -1.25pSolution
a = {-1.25p, -1.25p}
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