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Simplifying v2 + 4vp + -21p2 = 0 Reorder the terms: 4pv + -21p2 + v2 = 0 Solving 4pv + -21p2 + v2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -1v)(3p + -1v) = 0Subproblem 1
Set the factor '(-7p + -1v)' equal to zero and attempt to solve: Simplifying -7p + -1v = 0 Solving -7p + -1v = 0 Move all terms containing p to the left, all other terms to the right. Add 'v' to each side of the equation. -7p + -1v + v = 0 + v Combine like terms: -1v + v = 0 -7p + 0 = 0 + v -7p = 0 + v Remove the zero: -7p = v Divide each side by '-7'. p = -0.1428571429v Simplifying p = -0.1428571429vSubproblem 2
Set the factor '(3p + -1v)' equal to zero and attempt to solve: Simplifying 3p + -1v = 0 Solving 3p + -1v = 0 Move all terms containing p to the left, all other terms to the right. Add 'v' to each side of the equation. 3p + -1v + v = 0 + v Combine like terms: -1v + v = 0 3p + 0 = 0 + v 3p = 0 + v Remove the zero: 3p = v Divide each side by '3'. p = 0.3333333333v Simplifying p = 0.3333333333vSolution
p = {-0.1428571429v, 0.3333333333v}
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