2x^2-17=x^2+3

Solution for 2x^2-17=x^2+3 equation:

Simplifying
2x2 + -17 = x2 + 3

Reorder the terms:
-17 + 2x2 = x2 + 3

Reorder the terms:
-17 + 2x2 = 3 + x2

Solving
-17 + 2x2 = 3 + 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.
-17 + 2x2 + -1x2 = 3 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-17 + 1x2 = 3 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-17 + 1x2 = 3 + 0
-17 + 1x2 = 3

Add '17' to each side of the equation.
-17 + 17 + 1x2 = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 1x2 = 3 + 17
1x2 = 3 + 17

Combine like terms: 3 + 17 = 20
1x2 = 20

Divide each side by '1'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}