w*2w+3=35

Solution for w*2w+3=35 equation:

Simplifying
w * 2w + 3 = 35

Reorder the terms for easier multiplication:
2w * w + 3 = 35

Multiply w * w
2w2 + 3 = 35

Reorder the terms:
3 + 2w2 = 35

Solving
3 + 2w2 = 35

Solving for variable 'w'.

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

Add '-3' to each side of the equation.
3 + -3 + 2w2 = 35 + -3

Combine like terms: 3 + -3 = 0
0 + 2w2 = 35 + -3
2w2 = 35 + -3

Combine like terms: 35 + -3 = 32
2w2 = 32

Divide each side by '2'.
w2 = 16

Simplifying
w2 = 16

Take the square root of each side:
w = {-4, 4}