-5y^2+13=3

Solution for -5y^2+13=3 equation:

Simplifying
-5y2 + 13 = 3

Reorder the terms:
13 + -5y2 = 3

Solving
13 + -5y2 = 3

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + -5y2 = 3 + -13

Combine like terms: 13 + -13 = 0
0 + -5y2 = 3 + -13
-5y2 = 3 + -13

Combine like terms: 3 + -13 = -10
-5y2 = -10

Divide each side by '-5'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}