2y^2+7-10=0

Solution for 2y^2+7-10=0 equation:

Simplifying
2y2 + 7 + -10 = 0

Reorder the terms:
7 + -10 + 2y2 = 0

Combine like terms: 7 + -10 = -3
-3 + 2y2 = 0

Solving
-3 + 2y2 = 0

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 2y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y2 = 0 + 3
2y2 = 0 + 3

Combine like terms: 0 + 3 = 3
2y2 = 3

Divide each side by '2'.
y2 = 1.5

Simplifying
y2 = 1.5

Take the square root of each side:
y = {-1.224744871, 1.224744871}