260=w*2w+6

Solution for 260=w*2w+6 equation:

Simplifying
260 = w * 2w + 6

Reorder the terms for easier multiplication:
260 = 2w * w + 6

Multiply w * w
260 = 2w2 + 6

Reorder the terms:
260 = 6 + 2w2

Solving
260 = 6 + 2w2

Solving for variable 'w'.

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

Add '-2w2' to each side of the equation.
260 + -2w2 = 6 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
260 + -2w2 = 6 + 0
260 + -2w2 = 6

Add '-260' to each side of the equation.
260 + -260 + -2w2 = 6 + -260

Combine like terms: 260 + -260 = 0
0 + -2w2 = 6 + -260
-2w2 = 6 + -260

Combine like terms: 6 + -260 = -254
-2w2 = -254

Divide each side by '-2'.
w2 = 127

Simplifying
w2 = 127

Take the square root of each side:
w = {-11.26942767, 11.26942767}