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

The answer to sqrt(2/3 w+12)=8-2w is w= 13/6

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sqrt(2/3 w+12)=8-2w

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

w = \frac{13}{6}

Decimal Notation

w = 2.16666 \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 = 6, w = \frac{13}{6}

w = 6, w = \frac{13}{6}

Verify Solutions:

w = 6

False

, w = \frac{13}{6}

True

The solution is

w = \frac{13}{6}

2 y + 6 + 7 = y + 6

2 n + 25 = - 5 - n

0 = x - 3 + 4

x + 6 = - 5

- x + 27 = x + 3

What is the answer to sqrt(2/3 w+12)=8-2w ?
The answer to sqrt(2/3 w+12)=8-2w is w= 13/6
Solve for w: sqrt(2/3 w+12)=8-2w
The solution is w= 13/6