3x^2-800=1400+2x^2

Solution for 3x^2-800=1400+2x^2 equation:

Simplifying
3x2 + -800 = 1400 + 2x2

Reorder the terms:
-800 + 3x2 = 1400 + 2x2

Solving
-800 + 3x2 = 1400 + 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.
-800 + 3x2 + -2x2 = 1400 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-800 + 1x2 = 1400 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-800 + 1x2 = 1400 + 0
-800 + 1x2 = 1400

Add '800' to each side of the equation.
-800 + 800 + 1x2 = 1400 + 800

Combine like terms: -800 + 800 = 0
0 + 1x2 = 1400 + 800
1x2 = 1400 + 800

Combine like terms: 1400 + 800 = 2200
1x2 = 2200

Divide each side by '1'.
x2 = 2200

Simplifying
x2 = 2200

Take the square root of each side:
x = {-46.904157598, 46.904157598}