64-x^2=3x^2

Solution for 64-x^2=3x^2 equation:

Simplifying
64 + -1x2 = 3x2

Solving
64 + -1x2 = 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
64 + -1x2 + -3x2 = 3x2 + -3x2

Combine like terms: -1x2 + -3x2 = -4x2
64 + -4x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
64 + -4x2 = 0

Add '-64' to each side of the equation.
64 + -64 + -4x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -4x2 = 0 + -64
-4x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-4x2 = -64

Divide each side by '-4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}