4=(2.5w)(w)(0.5)

Solution for 4=(2.5w)(w)(0.5) equation:

Simplifying
4 = (2.5w)(w)(0.5)

Remove parenthesis around (2.5w)
4 = 2.5w(w)(0.5)

Reorder the terms for easier multiplication:
4 = 2.5 * 0.5w * w

Multiply 2.5 * 0.5
4 = 1.25w * w

Multiply w * w
4 = 1.25w2

Solving
4 = 1.25w2

Solving for variable 'w'.

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

Add '-1.25w2' to each side of the equation.
4 + -1.25w2 = 1.25w2 + -1.25w2

Combine like terms: 1.25w2 + -1.25w2 = 0.00
4 + -1.25w2 = 0.00

Add '-4' to each side of the equation.
4 + -4 + -1.25w2 = 0.00 + -4

Combine like terms: 4 + -4 = 0
0 + -1.25w2 = 0.00 + -4
-1.25w2 = 0.00 + -4

Combine like terms: 0.00 + -4 = -4
-1.25w2 = -4

Divide each side by '-1.25'.
w2 = 3.2

Simplifying
w2 = 3.2

Take the square root of each side:
w = {-1.788854382, 1.788854382}