4x^2+1=x^2+4

Solution for 4x^2+1=x^2+4 equation:

Simplifying
4x2 + 1 = x2 + 4

Reorder the terms:
1 + 4x2 = x2 + 4

Reorder the terms:
1 + 4x2 = 4 + x2

Solving
1 + 4x2 = 4 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
1 + 4x2 + -1x2 = 4 + x2 + -1x2

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

Combine like terms: x2 + -1x2 = 0
1 + 3x2 = 4 + 0
1 + 3x2 = 4

Add '-1' to each side of the equation.
1 + -1 + 3x2 = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 3x2 = 4 + -1
3x2 = 4 + -1

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

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}