What is the answer to sqrt(2/3 w+12)=8+5w ?

The answer to sqrt(2/3 w+12)=8+5w is w=(-119+sqrt(2461))/(75)

Solve for w: sqrt(2/3 w+12)=8+5w

The solution is w=(-119+sqrt(2461))/(75)

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\frac{2}{3} w + 12 = 8 + 5 w

w = \frac{- 119 + 2461}{75}

Decimal Notation

w = - 0.92522 \dots

Solution steps

\frac{2}{3} w + 12 = 8 + 5 w

Square both sides:

\frac{2}{3} w + 12 = 64 + 80 w + 25 w^{2}

\frac{2}{3} w + 12 = 64 + 80 w + 25 w^{2}

Solve

\frac{2}{3} w + 12 = 64 + 80 w + 25 w^{2} : w = \frac{- 119 + 2461}{75}, w = - \frac{119 + 2461}{75}

w = \frac{- 119 + 2461}{75}, w = - \frac{119 + 2461}{75}

Verify Solutions:

w = \frac{- 119 + 2461}{75}

True

, w = - \frac{119 + 2461}{75}

False

The solution is

w = \frac{- 119 + 2461}{75}

8 = x

9 x - 9 = 6

x - 7 x + 10 = 0

What is the answer to sqrt(2/3 w+12)=8+5w ?
The answer to sqrt(2/3 w+12)=8+5w is w=(-119+sqrt(2461))/(75)
Solve for w: sqrt(2/3 w+12)=8+5w
The solution is w=(-119+sqrt(2461))/(75)