270=5(w)(w*3)

Solution for 270=5(w)(w*3) equation:

Simplifying
270 = 5(w)(w * 3)

Reorder the terms for easier multiplication:
270 = 5w(3w)

Remove parenthesis around (3w)
270 = 5w * 3w

Reorder the terms for easier multiplication:
270 = 5 * 3w * w

Multiply 5 * 3
270 = 15w * w

Multiply w * w
270 = 15w2

Solving
270 = 15w2

Solving for variable 'w'.

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

Add '-15w2' to each side of the equation.
270 + -15w2 = 15w2 + -15w2

Combine like terms: 15w2 + -15w2 = 0
270 + -15w2 = 0

Add '-270' to each side of the equation.
270 + -270 + -15w2 = 0 + -270

Combine like terms: 270 + -270 = 0
0 + -15w2 = 0 + -270
-15w2 = 0 + -270

Combine like terms: 0 + -270 = -270
-15w2 = -270

Divide each side by '-15'.
w2 = 18

Simplifying
w2 = 18

Take the square root of each side:
w = {-4.242640687, 4.242640687}