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Simplifying 6v2 + 5vp + -21p2 = 0 Reorder the terms: 5pv + -21p2 + 6v2 = 0 Solving 5pv + -21p2 + 6v2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -3v)(3p + -2v) = 0Subproblem 1
Set the factor '(-7p + -3v)' equal to zero and attempt to solve: Simplifying -7p + -3v = 0 Solving -7p + -3v = 0 Move all terms containing p to the left, all other terms to the right. Add '3v' to each side of the equation. -7p + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 -7p + 0 = 0 + 3v -7p = 0 + 3v Remove the zero: -7p = 3v Divide each side by '-7'. p = -0.4285714286v Simplifying p = -0.4285714286vSubproblem 2
Set the factor '(3p + -2v)' equal to zero and attempt to solve: Simplifying 3p + -2v = 0 Solving 3p + -2v = 0 Move all terms containing p to the left, all other terms to the right. Add '2v' to each side of the equation. 3p + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 3p + 0 = 0 + 2v 3p = 0 + 2v Remove the zero: 3p = 2v Divide each side by '3'. p = 0.6666666667v Simplifying p = 0.6666666667vSolution
p = {-0.4285714286v, 0.6666666667v}
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