x^2+243=4x^2

Solution for x^2+243=4x^2 equation:

Simplifying
x2 + 243 = 4x2

Reorder the terms:
243 + x2 = 4x2

Solving
243 + x2 = 4x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + -4x2 = -3x2
243 + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
243 + -3x2 = 0

Add '-243' to each side of the equation.
243 + -243 + -3x2 = 0 + -243

Combine like terms: 243 + -243 = 0
0 + -3x2 = 0 + -243
-3x2 = 0 + -243

Combine like terms: 0 + -243 = -243
-3x2 = -243

Divide each side by '-3'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}