676=4x^2+9x^2

Solution for 676=4x^2+9x^2 equation:

Simplifying
676 = 4x2 + 9x2

Combine like terms: 4x2 + 9x2 = 13x2
676 = 13x2

Solving
676 = 13x2

Solving for variable 'x'.

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

Add '-13x2' to each side of the equation.
676 + -13x2 = 13x2 + -13x2

Combine like terms: 13x2 + -13x2 = 0
676 + -13x2 = 0

Add '-676' to each side of the equation.
676 + -676 + -13x2 = 0 + -676

Combine like terms: 676 + -676 = 0
0 + -13x2 = 0 + -676
-13x2 = 0 + -676

Combine like terms: 0 + -676 = -676
-13x2 = -676

Divide each side by '-13'.
x2 = 52

Simplifying
x2 = 52

Take the square root of each side:
x = {-7.211102551, 7.211102551}