Answer
$p=1\pm\sqrt{5}$
Work Step by Step
$ 3(p-1)^{2}=15\qquad$ ...divide the entire expression with $3$.
$(p-1)^{2}=5\qquad$ ...take square roots of each side.
$ p-1=\pm\sqrt{5}\qquad$ ...add $1$ to each side.
$p=1\pm\sqrt{5}$
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