2y^2+3y(2y)=10

Solution for 2y^2+3y(2y)=10 equation:

Simplifying
2y2 + 3y(2y) = 10

Remove parenthesis around (2y)
2y2 + 3y * 2y = 10

Reorder the terms for easier multiplication:
2y2 + 3 * 2y * y = 10

Multiply 3 * 2
2y2 + 6y * y = 10

Multiply y * y
2y2 + 6y2 = 10

Combine like terms: 2y2 + 6y2 = 8y2
8y2 = 10

Solving
8y2 = 10

Solving for variable 'y'.

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

Divide each side by '8'.
y2 = 1.25

Simplifying
y2 = 1.25

Take the square root of each side:
y = {-1.118033989, 1.118033989}