# Solve the equation (3W)^2=2W(4W+3)?

Feb 2, 2017

$W = 0$ or $W = 6$

#### Explanation:

${\left(3 W\right)}^{2} = 2 W \left(4 W + 3\right)$ is equivalent to

$3 W \times 3 W = 2 W \times 4 W + 2 W \times 3$

or $9 {W}^{2} = 8 {W}^{2} + 6 W$

or ${W}^{2} - 6 W = 0$

or $W \left(W - 6\right) = 0$

Hence, either $W = 0$ or $W - 6 = 0$ i.e. $W = 6$