What is the answer to a/(8a-5+2(a+1))=-3(a+6) ?

The answer to a/(8a-5+2(a+1))=-3(a+6) is a=-(43+7sqrt(46))/(15),a=(7sqrt(46)-43)/(15)

Solve for a: a/(8a-5+2(a+1))=-3(a+6)

The solution is a=-(43+7sqrt(46))/(15),a=(7sqrt(46)-43)/(15)

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\frac{a}{8 a - 5 + 2 ( a + 1 )} = - 3 (a + 6)

a = - \frac{43 + 7 46}{15}, a = \frac{7 46 - 43}{15}

Decimal Notation

a = - 6.03175 \dots, a = 0.29842 \dots

Solution steps

\frac{a}{8 a - 5 + 2 ( a + 1 )} = - 3 (a + 6)

Simplify

\frac{a}{8 a - 5 + 2 ( a + 1 )} : \frac{a}{10 a - 3}

\frac{a}{10 a - 3} = - 3 (a + 6)

Multiply both sides by

10 a - 3

a = - 3 (a + 6) (10 a - 3)

Solve

a = - 3 (a + 6) (10 a - 3) : a = - \frac{43 + 7 46}{15}, a = \frac{7 46 - 43}{15}

a = - \frac{43 + 7 46}{15}, a = \frac{7 46 - 43}{15}

Verify Solutions

Find undefined (singularity) points:

a = \frac{3}{10}

Combine undefined points with solutions:

a = - \frac{43 + 7 46}{15}, a = \frac{7 46 - 43}{15}

\frac{6}{x} = \frac{x}{2} + 2

\frac{2 - x}{3 x} = - 12

\frac{x + 8}{2 x} = 4

x - \frac{2}{x + 3} = 2

2 x + 3 = \frac{- 9}{x}

What is the answer to a/(8a-5+2(a+1))=-3(a+6) ?
The answer to a/(8a-5+2(a+1))=-3(a+6) is a=-(43+7sqrt(46))/(15),a=(7sqrt(46)-43)/(15)
Solve for a: a/(8a-5+2(a+1))=-3(a+6)
The solution is a=-(43+7sqrt(46))/(15),a=(7sqrt(46)-43)/(15)