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Simplifying 4v2 + 28vp + 49p2 = 0 Reorder the terms: 28pv + 49p2 + 4v2 = 0 Solving 28pv + 49p2 + 4v2 = 0 Solving for variable 'p'. Factor a trinomial. (7p + 2v)(7p + 2v) = 0Subproblem 1
Set the factor '(7p + 2v)' equal to zero and attempt to solve: Simplifying 7p + 2v = 0 Solving 7p + 2v = 0 Move all terms containing p to the left, all other terms to the right. Add '-2v' to each side of the equation. 7p + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 7p + 0 = 0 + -2v 7p = 0 + -2v Remove the zero: 7p = -2v Divide each side by '7'. p = -0.2857142857v Simplifying p = -0.2857142857vSubproblem 2
Set the factor '(7p + 2v)' equal to zero and attempt to solve: Simplifying 7p + 2v = 0 Solving 7p + 2v = 0 Move all terms containing p to the left, all other terms to the right. Add '-2v' to each side of the equation. 7p + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 7p + 0 = 0 + -2v 7p = 0 + -2v Remove the zero: 7p = -2v Divide each side by '7'. p = -0.2857142857v Simplifying p = -0.2857142857vSolution
p = {-0.2857142857v, -0.2857142857v}
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