54=2(w*5)2w

Solution for 54=2(w*5)2w equation:

Simplifying
54 = 2(w * 5) * 2w

Reorder the terms for easier multiplication:
54 = 2(5w) * 2w

Remove parenthesis around (5w)
54 = 2 * 5w * 2w

Reorder the terms for easier multiplication:
54 = 2 * 5 * 2w * w

Multiply 2 * 5
54 = 10 * 2w * w

Multiply 10 * 2
54 = 20w * w

Multiply w * w
54 = 20w2

Solving
54 = 20w2

Solving for variable 'w'.

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

Add '-20w2' to each side of the equation.
54 + -20w2 = 20w2 + -20w2

Combine like terms: 20w2 + -20w2 = 0
54 + -20w2 = 0

Add '-54' to each side of the equation.
54 + -54 + -20w2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -20w2 = 0 + -54
-20w2 = 0 + -54

Combine like terms: 0 + -54 = -54
-20w2 = -54

Divide each side by '-20'.
w2 = 2.7

Simplifying
w2 = 2.7

Take the square root of each side:
w = {-1.643167673, 1.643167673}