2x^2-11=x^2+5

Solution for 2x^2-11=x^2+5 equation:

Simplifying
2x2 + -11 = x2 + 5

Reorder the terms:
-11 + 2x2 = x2 + 5

Reorder the terms:
-11 + 2x2 = 5 + x2

Solving
-11 + 2x2 = 5 + 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.
-11 + 2x2 + -1x2 = 5 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-11 + 1x2 = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + 1x2 = 5 + 0
-11 + 1x2 = 5

Add '11' to each side of the equation.
-11 + 11 + 1x2 = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 1x2 = 5 + 11
1x2 = 5 + 11

Combine like terms: 5 + 11 = 16
1x2 = 16

Divide each side by '1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}