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Simplifying 36v2 + -12vp + p2 = 0 Reorder the terms: -12pv + p2 + 36v2 = 0 Solving -12pv + p2 + 36v2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -6v)(p + -6v) = 0Subproblem 1
Set the factor '(p + -6v)' equal to zero and attempt to solve: Simplifying p + -6v = 0 Solving p + -6v = 0 Move all terms containing p to the left, all other terms to the right. Add '6v' to each side of the equation. p + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 p + 0 = 0 + 6v p = 0 + 6v Remove the zero: p = 6v Simplifying p = 6vSubproblem 2
Set the factor '(p + -6v)' equal to zero and attempt to solve: Simplifying p + -6v = 0 Solving p + -6v = 0 Move all terms containing p to the left, all other terms to the right. Add '6v' to each side of the equation. p + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 p + 0 = 0 + 6v p = 0 + 6v Remove the zero: p = 6v Simplifying p = 6vSolution
p = {6v, 6v}
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