5x^2+3=x^2+51

Solution for 5x^2+3=x^2+51 equation:

Simplifying
5x2 + 3 = x2 + 51

Reorder the terms:
3 + 5x2 = x2 + 51

Reorder the terms:
3 + 5x2 = 51 + x2

Solving
3 + 5x2 = 51 + 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.
3 + 5x2 + -1x2 = 51 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
3 + 4x2 = 51 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + 4x2 = 51 + 0
3 + 4x2 = 51

Add '-3' to each side of the equation.
3 + -3 + 4x2 = 51 + -3

Combine like terms: 3 + -3 = 0
0 + 4x2 = 51 + -3
4x2 = 51 + -3

Combine like terms: 51 + -3 = 48
4x2 = 48

Divide each side by '4'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}