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Simplifying 6v2 + 11vp + -35p2 = 0 Reorder the terms: 11pv + -35p2 + 6v2 = 0 Solving 11pv + -35p2 + 6v2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -2v)(5p + -3v) = 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 '(5p + -3v)' equal to zero and attempt to solve: Simplifying 5p + -3v = 0 Solving 5p + -3v = 0 Move all terms containing p to the left, all other terms to the right. Add '3v' to each side of the equation. 5p + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 5p + 0 = 0 + 3v 5p = 0 + 3v Remove the zero: 5p = 3v Divide each side by '5'. p = 0.6v Simplifying p = 0.6vSolution
p = {-0.2857142857v, 0.6v}
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