Solve by any method.
-$(-8 \mathrm{p}-5)^{2}=4(-8 \mathrm{p}-5)+12$

A) $\left\{\frac{3}{8}, \frac{11}{8}\right\}$

B) $\left\{-\frac{3}{8},-\frac{11}{8}\right\}$

C) $\{-2,6\}$

D) $\left\{\frac{7}{8},-\frac{1}{8}\right\}$

Question

Solve by any method.
-$(-8 \mathrm{p}-5)^{2}=4(-8 \mathrm{p}-5)+12$

A) $\left\{\frac{3}{8}, \frac{11}{8}\right\}$

B) $\left\{-\frac{3}{8},-\frac{11}{8}\right\}$

C) $\{-2,6\}$

D) $\left\{\frac{7}{8},-\frac{1}{8}\right\}$

Quizplus · Accepted Answer

Expanding and simplifying the given equation $(-8p-5)^2 = 4(-8p-5) + 12$ leads to a quadratic equation in terms of $p$. Solving this quadratic equation yields the roots $p = -\frac{3}{8}$ and $p = -\frac{11}{8}$, which matches option B.

Solve by Any Method (−8p−5)2=4(−8p−5)+12(-8 \mathrm{p}-5)^{2}=4(-8 \mathrm{p}-5)+12(−8p−5)2=4(−8p−5)+12 A) {38,118}\left\{\frac{3}{8}, \frac{11}{8}\right\}{83​,811​} B) {−38,−118}\left\{-\frac{3}{8},-\frac{11}{8}\right\}{−83​,−811​} C) {−2,6}\{-2,6\}{−2,6}

Solve by Any Method $(-8 \mathrm{p}-5)^{2}=4(-8 \mathrm{p}-5)+12$ A) $\left\{\frac{3}{8}, \frac{11}{8}\right\}$ B) $\left\{-\frac{3}{8},-\frac{11}{8}\right\}$ C) $\{-2,6\}$