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Simplifying 4a2 + 28ap + 49p2 = 0 Reorder the terms: 28ap + 4a2 + 49p2 = 0 Solving 28ap + 4a2 + 49p2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 7p)(2a + 7p) = 0Subproblem 1
Set the factor '(2a + 7p)' equal to zero and attempt to solve: Simplifying 2a + 7p = 0 Solving 2a + 7p = 0 Move all terms containing a to the left, all other terms to the right. Add '-7p' to each side of the equation. 2a + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 2a + 0 = 0 + -7p 2a = 0 + -7p Remove the zero: 2a = -7p Divide each side by '2'. a = -3.5p Simplifying a = -3.5pSubproblem 2
Set the factor '(2a + 7p)' equal to zero and attempt to solve: Simplifying 2a + 7p = 0 Solving 2a + 7p = 0 Move all terms containing a to the left, all other terms to the right. Add '-7p' to each side of the equation. 2a + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 2a + 0 = 0 + -7p 2a = 0 + -7p Remove the zero: 2a = -7p Divide each side by '2'. a = -3.5p Simplifying a = -3.5pSolution
a = {-3.5p, -3.5p}
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