3a^2+40=5a^2

Solution for 3a^2+40=5a^2 equation:

Simplifying
3a2 + 40 = 5a2

Reorder the terms:
40 + 3a2 = 5a2

Solving
40 + 3a2 = 5a2

Solving for variable 'a'.

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

Add '-5a2' to each side of the equation.
40 + 3a2 + -5a2 = 5a2 + -5a2

Combine like terms: 3a2 + -5a2 = -2a2
40 + -2a2 = 5a2 + -5a2

Combine like terms: 5a2 + -5a2 = 0
40 + -2a2 = 0

Add '-40' to each side of the equation.
40 + -40 + -2a2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -2a2 = 0 + -40
-2a2 = 0 + -40

Combine like terms: 0 + -40 = -40
-2a2 = -40

Divide each side by '-2'.
a2 = 20

Simplifying
a2 = 20

Take the square root of each side:
a = {-4.472135955, 4.472135955}