What is the answer to sqrt(2/3 w+12)=8+6w ?

The answer to sqrt(2/3 w+12)=8+6w is w=(-143+sqrt(3601))/(108)

Solve for w: sqrt(2/3 w+12)=8+6w

The solution is w=(-143+sqrt(3601))/(108)

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\frac{2}{3} w + 12 = 8 + 6 w

w = \frac{- 143 + 3601}{108}

Decimal Notation

w = - 0.76844 \dots

Solution steps

\frac{2}{3} w + 12 = 8 + 6 w

Square both sides:

\frac{2}{3} w + 12 = 64 + 96 w + 36 w^{2}

\frac{2}{3} w + 12 = 64 + 96 w + 36 w^{2}

Solve

\frac{2}{3} w + 12 = 64 + 96 w + 36 w^{2} : w = \frac{- 143 + 3601}{108}, w = - \frac{143 + 3601}{108}

w = \frac{- 143 + 3601}{108}, w = - \frac{143 + 3601}{108}

Verify Solutions:

w = \frac{- 143 + 3601}{108}

True

, w = - \frac{143 + 3601}{108}

False

The solution is

w = \frac{- 143 + 3601}{108}

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

15 = 144 + (10 - y)

x + 1 = x + 12

What is the answer to sqrt(2/3 w+12)=8+6w ?
The answer to sqrt(2/3 w+12)=8+6w is w=(-143+sqrt(3601))/(108)
Solve for w: sqrt(2/3 w+12)=8+6w
The solution is w=(-143+sqrt(3601))/(108)