What is the answer to (36k^2-6k-82)/(2k+11)=-3 ?

The answer to (36k^2-6k-82)/(2k+11)=-3 is k= 7/6 ,k=-7/6

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(36k^2-6k-82)/(2k+11)=-3

\frac{36 k ^{2} - 6 k - 82}{2 k + 11} = - 3

k = \frac{7}{6}, k = - \frac{7}{6}

Decimal Notation

k = 1.16666 \dots, k = - 1.16666 \dots

Solution steps

\frac{36 k ^{2} - 6 k - 82}{2 k + 11} = - 3

Multiply both sides by

2 k + 11

36 k^{2} - 6 k - 82 = - 3 (2 k + 11)

Solve

36 k^{2} - 6 k - 82 = - 3 (2 k + 11) : k = \frac{7}{6}, k = - \frac{7}{6}

k = \frac{7}{6}, k = - \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

k = - \frac{11}{2}

Combine undefined points with solutions:

k = \frac{7}{6}, k = - \frac{7}{6}

\frac{51}{21} = \frac{17}{c}

\frac{20}{5} = \frac{40}{x}

m, k = \frac{2 m + 4}{m}

\frac{3 π}{2} = \frac{2 π}{x}

\frac{2}{3 y} = 8

What is the answer to (36k^2-6k-82)/(2k+11)=-3 ?
The answer to (36k^2-6k-82)/(2k+11)=-3 is k= 7/6 ,k=-7/6
Solve for k: (36k^2-6k-82)/(2k+11)=-3
The solution is k= 7/6 ,k=-7/6