2x^2+16=6x^2

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

Simplifying
2x2 + 16 = 6x2

Reorder the terms:
16 + 2x2 = 6x2

Solving
16 + 2x2 = 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.
16 + 2x2 + -6x2 = 6x2 + -6x2

Combine like terms: 2x2 + -6x2 = -4x2
16 + -4x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
16 + -4x2 = 0

Add '-16' to each side of the equation.
16 + -16 + -4x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4x2 = 0 + -16
-4x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-4x2 = -16

Divide each side by '-4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}