Question

solve for w.
\\(30w = 9w^2 + 25\\)
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
\\(w = \square\\)

Explanation:

Step1: Rearrange to standard quadratic form

$$9w^2 - 30w + 25 = 0$$

Step2: Recognize perfect square trinomial

$$(3w - 5)^2 = 0$$

Step3: Solve for w

$$3w - 5 = 0 \implies w = \frac{5}{3}$$

Answer:

$\frac{5}{3}$