What is the answer to -7/(2u+12)+1=-3/(u+6) ?

The answer to -7/(2u+12)+1=-3/(u+6) is u=-11/2

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-7/(2u+12)+1=-3/(u+6)

- \frac{7}{2 u + 12} + 1 = - \frac{3}{u + 6}

u = - \frac{11}{2}

Decimal Notation

u = - 5.5

Solution steps

- \frac{7}{2 u + 12} + 1 = - \frac{3}{u + 6}

Multiply by LCM

- 7 + 2 (u + 6) = - 6

Move

7

to the right side

2 (u + 6) = 1

Divide both sides by

2

u + 6 = \frac{1}{2}

Move

6

to the right side

u = - \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

u = - 6

Combine undefined points with solutions:

u = - \frac{11}{2}

\frac{250}{x} + \frac{360}{x + 10} = 11

\frac{6}{x - 6} - \frac{12}{x ^{2}} = 0

2 x^{- 2} = x^{- 1} - 1

\frac{3}{x} = \frac{1}{3} - \frac{1}{x}

1 - \frac{7}{x + 3} = \frac{7}{x ^{2} + 5 x + 6}

What is the answer to -7/(2u+12)+1=-3/(u+6) ?
The answer to -7/(2u+12)+1=-3/(u+6) is u=-11/2
Solve for u: -7/(2u+12)+1=-3/(u+6)
The solution is u=-11/2