77=(4w)*(w)

Solution for 77=(4w)*(w) equation:

Simplifying
77 = (4w)(w)

Remove parenthesis around (4w)
77 = 4w(w)

Multiply w * w
77 = 4w2

Solving
77 = 4w2

Solving for variable 'w'.

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

Add '-4w2' to each side of the equation.
77 + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
77 + -4w2 = 0

Add '-77' to each side of the equation.
77 + -77 + -4w2 = 0 + -77

Combine like terms: 77 + -77 = 0
0 + -4w2 = 0 + -77
-4w2 = 0 + -77

Combine like terms: 0 + -77 = -77
-4w2 = -77

Divide each side by '-4'.
w2 = 19.25

Simplifying
w2 = 19.25

Take the square root of each side:
w = {-4.387482194, 4.387482194}