What is the answer to sqrt(2/3 w+12)=8+2w ?

The answer to sqrt(2/3 w+12)=8+2w is w=(-47+sqrt(337))/(12)

Solve for w: sqrt(2/3 w+12)=8+2w

The solution is w=(-47+sqrt(337))/(12)

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\frac{2}{3} w + 12 = 8 + 2 w

w = \frac{- 47 + 337}{12}

Decimal Notation

w = - 2.38687 \dots

Solution steps

\frac{2}{3} w + 12 = 8 + 2 w

Square both sides:

\frac{2}{3} w + 12 = 64 + 32 w + 4 w^{2}

\frac{2}{3} w + 12 = 64 + 32 w + 4 w^{2}

Solve

\frac{2}{3} w + 12 = 64 + 32 w + 4 w^{2} : w = \frac{- 47 + 337}{12}, w = - \frac{47 + 337}{12}

w = \frac{- 47 + 337}{12}, w = - \frac{47 + 337}{12}

Verify Solutions:

w = \frac{- 47 + 337}{12}

True

, w = - \frac{47 + 337}{12}

False

The solution is

w = \frac{- 47 + 337}{12}

4 + x - 1 = 2

\frac{2}{3} w + 12 = 8 + 3 w

(5 + 8 x)^{\frac{1}{3}} = - 3

16 x + 1 = 17 x + 16

What is the answer to sqrt(2/3 w+12)=8+2w ?
The answer to sqrt(2/3 w+12)=8+2w is w=(-47+sqrt(337))/(12)
Solve for w: sqrt(2/3 w+12)=8+2w
The solution is w=(-47+sqrt(337))/(12)