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Simplifying 36a2 + -84ap + 49p2 = 0 Reorder the terms: -84ap + 36a2 + 49p2 = 0 Solving -84ap + 36a2 + 49p2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -7p)(6a + -7p) = 0Subproblem 1
Set the factor '(6a + -7p)' equal to zero and attempt to solve: Simplifying 6a + -7p = 0 Solving 6a + -7p = 0 Move all terms containing a to the left, all other terms to the right. Add '7p' to each side of the equation. 6a + -7p + 7p = 0 + 7p Combine like terms: -7p + 7p = 0 6a + 0 = 0 + 7p 6a = 0 + 7p Remove the zero: 6a = 7p Divide each side by '6'. a = 1.166666667p Simplifying a = 1.166666667pSubproblem 2
Set the factor '(6a + -7p)' equal to zero and attempt to solve: Simplifying 6a + -7p = 0 Solving 6a + -7p = 0 Move all terms containing a to the left, all other terms to the right. Add '7p' to each side of the equation. 6a + -7p + 7p = 0 + 7p Combine like terms: -7p + 7p = 0 6a + 0 = 0 + 7p 6a = 0 + 7p Remove the zero: 6a = 7p Divide each side by '6'. a = 1.166666667p Simplifying a = 1.166666667pSolution
a = {1.166666667p, 1.166666667p}
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