x^2+49+x^2=4x^2+1

Solution for x^2+49+x^2=4x^2+1 equation:

Simplifying
x2 + 49 + x2 = 4x2 + 1

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

Combine like terms: x2 + x2 = 2x2
49 + 2x2 = 4x2 + 1

Reorder the terms:
49 + 2x2 = 1 + 4x2

Solving
49 + 2x2 = 1 + 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.
49 + 2x2 + -4x2 = 1 + 4x2 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
49 + -2x2 = 1 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
49 + -2x2 = 1 + 0
49 + -2x2 = 1

Add '-49' to each side of the equation.
49 + -49 + -2x2 = 1 + -49

Combine like terms: 49 + -49 = 0
0 + -2x2 = 1 + -49
-2x2 = 1 + -49

Combine like terms: 1 + -49 = -48
-2x2 = -48

Divide each side by '-2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}