x^2+6=6x^2-16

Solution for x^2+6=6x^2-16 equation:

Simplifying
x2 + 6 = 6x2 + -16

Reorder the terms:
6 + x2 = 6x2 + -16

Reorder the terms:
6 + x2 = -16 + 6x2

Solving
6 + x2 = -16 + 6x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x2' to each side of the equation.
6 + x2 + -6x2 = -16 + 6x2 + -6x2

Combine like terms: x2 + -6x2 = -5x2
6 + -5x2 = -16 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
6 + -5x2 = -16 + 0
6 + -5x2 = -16

Add '-6' to each side of the equation.
6 + -6 + -5x2 = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x2 = -16 + -6
-5x2 = -16 + -6

Combine like terms: -16 + -6 = -22
-5x2 = -22

Divide each side by '-5'.
x2 = 4.4

Simplifying
x2 = 4.4

Take the square root of each side:
x = {-2.097617696, 2.097617696}