52=2x^2+3x^2

Solution for 52=2x^2+3x^2 equation:

Simplifying
52 = 2x2 + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
52 = 5x2

Solving
52 = 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
52 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
52 + -5x2 = 0

Add '-52' to each side of the equation.
52 + -52 + -5x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -5x2 = 0 + -52
-5x2 = 0 + -52

Combine like terms: 0 + -52 = -52
-5x2 = -52

Divide each side by '-5'.
x2 = 10.4

Simplifying
x2 = 10.4

Take the square root of each side:
x = {-3.224903099, 3.224903099}