4x^2-22=x^2+5

Solution for 4x^2-22=x^2+5 equation:

Simplifying
4x2 + -22 = x2 + 5

Reorder the terms:
-22 + 4x2 = x2 + 5

Reorder the terms:
-22 + 4x2 = 5 + x2

Solving
-22 + 4x2 = 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.
-22 + 4x2 + -1x2 = 5 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-22 + 3x2 = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-22 + 3x2 = 5 + 0
-22 + 3x2 = 5

Add '22' to each side of the equation.
-22 + 22 + 3x2 = 5 + 22

Combine like terms: -22 + 22 = 0
0 + 3x2 = 5 + 22
3x2 = 5 + 22

Combine like terms: 5 + 22 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}