3x^2-510=700-7x^2

Solution for 3x^2-510=700-7x^2 equation:

Simplifying
3x2 + -510 = 700 + -7x2

Reorder the terms:
-510 + 3x2 = 700 + -7x2

Solving
-510 + 3x2 = 700 + -7x2

Solving for variable 'x'.

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

Add '7x2' to each side of the equation.
-510 + 3x2 + 7x2 = 700 + -7x2 + 7x2

Combine like terms: 3x2 + 7x2 = 10x2
-510 + 10x2 = 700 + -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-510 + 10x2 = 700 + 0
-510 + 10x2 = 700

Add '510' to each side of the equation.
-510 + 510 + 10x2 = 700 + 510

Combine like terms: -510 + 510 = 0
0 + 10x2 = 700 + 510
10x2 = 700 + 510

Combine like terms: 700 + 510 = 1210
10x2 = 1210

Divide each side by '10'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}