78=3+2w*w

Solution for 78=3+2w*w equation:

Simplifying
78 = 3 + 2w * w

Multiply w * w
78 = 3 + 2w2

Solving
78 = 3 + 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.
78 + -2w2 = 3 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
78 + -2w2 = 3 + 0
78 + -2w2 = 3

Add '-78' to each side of the equation.
78 + -78 + -2w2 = 3 + -78

Combine like terms: 78 + -78 = 0
0 + -2w2 = 3 + -78
-2w2 = 3 + -78

Combine like terms: 3 + -78 = -75
-2w2 = -75

Divide each side by '-2'.
w2 = 37.5

Simplifying
w2 = 37.5

Take the square root of each side:
w = {-6.123724357, 6.123724357}