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Simplifying 16a2 + 56ap + 49p2 = 0 Reorder the terms: 56ap + 16a2 + 49p2 = 0 Solving 56ap + 16a2 + 49p2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + 7p)(4a + 7p) = 0Subproblem 1
Set the factor '(4a + 7p)' equal to zero and attempt to solve: Simplifying 4a + 7p = 0 Solving 4a + 7p = 0 Move all terms containing a to the left, all other terms to the right. Add '-7p' to each side of the equation. 4a + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 4a + 0 = 0 + -7p 4a = 0 + -7p Remove the zero: 4a = -7p Divide each side by '4'. a = -1.75p Simplifying a = -1.75pSubproblem 2
Set the factor '(4a + 7p)' equal to zero and attempt to solve: Simplifying 4a + 7p = 0 Solving 4a + 7p = 0 Move all terms containing a to the left, all other terms to the right. Add '-7p' to each side of the equation. 4a + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 4a + 0 = 0 + -7p 4a = 0 + -7p Remove the zero: 4a = -7p Divide each side by '4'. a = -1.75p Simplifying a = -1.75pSolution
a = {-1.75p, -1.75p}
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