3x^2-35=45-2x^2

Solution for 3x^2-35=45-2x^2 equation:

Simplifying
3x2 + -35 = 45 + -2x2

Reorder the terms:
-35 + 3x2 = 45 + -2x2

Solving
-35 + 3x2 = 45 + -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.
-35 + 3x2 + 2x2 = 45 + -2x2 + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
-35 + 5x2 = 45 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-35 + 5x2 = 45 + 0
-35 + 5x2 = 45

Add '35' to each side of the equation.
-35 + 35 + 5x2 = 45 + 35

Combine like terms: -35 + 35 = 0
0 + 5x2 = 45 + 35
5x2 = 45 + 35

Combine like terms: 45 + 35 = 80
5x2 = 80

Divide each side by '5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}