What is the answer to 1/(4(-12k+56))=8+10k ?

The answer to 1/(4(-12k+56))=8+10k is k=-(-232+sqrt(107554))/(120),k=(232+sqrt(107554))/(120)

Solve for k: 1/(4(-12k+56))=8+10k

The solution is k=-(-232+sqrt(107554))/(120),k=(232+sqrt(107554))/(120)

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\frac{1}{4 ( - 12 k + 56 )} = 8 + 10 k

k = - \frac{- 232 + 107554}{120}, k = \frac{232 + 107554}{120}

Decimal Notation

k = - 0.79961 \dots, k = 4.66628 \dots

Solution steps

\frac{1}{4 ( - 12 k + 56 )} = 8 + 10 k

Multiply both sides by

4 (- 12 k + 56)

1 = 32 (- 12 k + 56) + 40 k (- 12 k + 56)

Solve

1 = 32 (- 12 k + 56) + 40 k (- 12 k + 56) : k = - \frac{- 232 + 107554}{120}, k = \frac{232 + 107554}{120}

k = - \frac{- 232 + 107554}{120}, k = \frac{232 + 107554}{120}

Verify Solutions

Find undefined (singularity) points:

k = \frac{14}{3}

Combine undefined points with solutions:

k = - \frac{- 232 + 107554}{120}, k = \frac{232 + 107554}{120}

x^{3} + x^{- 3} = 18, x + \frac{1}{x}

0 = \frac{1}{1 + x ^{2}}

\frac{x}{2} = \frac{4 x + 3}{3 x + 1}

\frac{- 30}{x} = - 1.5

\frac{r ^{2} + 5 r + 6}{r + 3} = 1

What is the answer to 1/(4(-12k+56))=8+10k ?
The answer to 1/(4(-12k+56))=8+10k is k=-(-232+sqrt(107554))/(120),k=(232+sqrt(107554))/(120)
Solve for k: 1/(4(-12k+56))=8+10k
The solution is k=-(-232+sqrt(107554))/(120),k=(232+sqrt(107554))/(120)