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Simplifying
405 = w(5w)
Remove parenthesis around (5w)
405 = w * 5w
Reorder the terms for easier multiplication:
405 = 5w * w
Multiply w * w
405 = 5w2
Solving
405 = 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.
405 + -5w2 = 5w2 + -5w2
Combine like terms: 5w2 + -5w2 = 0
405 + -5w2 = 0
Add '-405' to each side of the equation.
405 + -405 + -5w2 = 0 + -405
Combine like terms: 405 + -405 = 0
0 + -5w2 = 0 + -405
-5w2 = 0 + -405
Combine like terms: 0 + -405 = -405
-5w2 = -405
Divide each side by '-5'.
w2 = 81
Simplifying
w2 = 81
Take the square root of each side:
w = {-9, 9}
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