45=(w)(5w)

Solution for 45=(w)(5w) equation:

Simplifying
45 = (w)(5w)

Remove parenthesis around (5w)
45 = w * 5w

Reorder the terms for easier multiplication:
45 = 5w * w

Multiply w * w
45 = 5w2

Solving
45 = 5w2

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-5w2' to each side of the equation.
45 + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
45 + -5w2 = 0

Add '-45' to each side of the equation.
45 + -45 + -5w2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -5w2 = 0 + -45
-5w2 = 0 + -45

Combine like terms: 0 + -45 = -45
-5w2 = -45

Divide each side by '-5'.
w2 = 9

Simplifying
w2 = 9

Take the square root of each side:
w = {-3, 3}