What is the answer to sqrt(2/3 w+12)=8+7w ?

The answer to sqrt(2/3 w+12)=8+7w is w=(-167+sqrt(4957))/(147)

Solve for w: sqrt(2/3 w+12)=8+7w

The solution is w=(-167+sqrt(4957))/(147)

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\frac{2}{3} w + 12 = 8 + 7 w

w = \frac{- 167 + 4957}{147}

Decimal Notation

w = - 0.65710 \dots

Solution steps

\frac{2}{3} w + 12 = 8 + 7 w

Square both sides:

\frac{2}{3} w + 12 = 64 + 112 w + 49 w^{2}

\frac{2}{3} w + 12 = 64 + 112 w + 49 w^{2}

Solve

\frac{2}{3} w + 12 = 64 + 112 w + 49 w^{2} : w = \frac{- 167 + 4957}{147}, w = - \frac{167 + 4957}{147}

w = \frac{- 167 + 4957}{147}, w = - \frac{167 + 4957}{147}

Verify Solutions:

w = \frac{- 167 + 4957}{147}

True

, w = - \frac{167 + 4957}{147}

False

The solution is

w = \frac{- 167 + 4957}{147}

15 = 144 + (10 - y)

x + 1 = x + 12

9 x + 378 = 3 7 x

What is the answer to sqrt(2/3 w+12)=8+7w ?
The answer to sqrt(2/3 w+12)=8+7w is w=(-167+sqrt(4957))/(147)
Solve for w: sqrt(2/3 w+12)=8+7w
The solution is w=(-167+sqrt(4957))/(147)