x^2+6=2x^2-15+21

Solution for x^2+6=2x^2-15+21 equation:

Simplifying
x2 + 6 = 2x2 + -15 + 21

Reorder the terms:
6 + x2 = 2x2 + -15 + 21

Reorder the terms:
6 + x2 = -15 + 21 + 2x2

Combine like terms: -15 + 21 = 6
6 + x2 = 6 + 2x2

Add '-6' to each side of the equation.
6 + -6 + x2 = 6 + -6 + 2x2

Combine like terms: 6 + -6 = 0
0 + x2 = 6 + -6 + 2x2
x2 = 6 + -6 + 2x2

Combine like terms: 6 + -6 = 0
x2 = 0 + 2x2
x2 = 2x2

Solving
x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
x2 + -2x2 = 2x2 + -2x2

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

Combine like terms: 2x2 + -2x2 = 0
-1x2 = 0

Divide each side by '-1'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}