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Simplifying 64v2 + -16vp + p2 = 0 Reorder the terms: -16pv + p2 + 64v2 = 0 Solving -16pv + p2 + 64v2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -8v)(p + -8v) = 0Subproblem 1
Set the factor '(p + -8v)' equal to zero and attempt to solve: Simplifying p + -8v = 0 Solving p + -8v = 0 Move all terms containing p to the left, all other terms to the right. Add '8v' to each side of the equation. p + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 p + 0 = 0 + 8v p = 0 + 8v Remove the zero: p = 8v Simplifying p = 8vSubproblem 2
Set the factor '(p + -8v)' equal to zero and attempt to solve: Simplifying p + -8v = 0 Solving p + -8v = 0 Move all terms containing p to the left, all other terms to the right. Add '8v' to each side of the equation. p + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 p + 0 = 0 + 8v p = 0 + 8v Remove the zero: p = 8v Simplifying p = 8vSolution
p = {8v, 8v}
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