20=(w)(5w)

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Solution for 20=(w)(5w) equation:


Simplifying
20 = (w)(5w)

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

Reorder the terms for easier multiplication:
20 = 5w * w

Multiply w * w
20 = 5w2

Solving
20 = 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.
20 + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
20 + -5w2 = 0

Add '-20' to each side of the equation.
20 + -20 + -5w2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -5w2 = 0 + -20
-5w2 = 0 + -20

Combine like terms: 0 + -20 = -20
-5w2 = -20

Divide each side by '-5'.
w2 = 4

Simplifying
w2 = 4

Take the square root of each side:
w = {-2, 2}

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