3x^2-2x-9=3-2x

Solution for 3x^2-2x-9=3-2x equation:

Simplifying
3x2 + -2x + -9 = 3 + -2x

Reorder the terms:
-9 + -2x + 3x2 = 3 + -2x

Add '2x' to each side of the equation.
-9 + -2x + 2x + 3x2 = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 0 + 3x2 = 3 + -2x + 2x
-9 + 3x2 = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 3x2 = 3 + 0
-9 + 3x2 = 3

Solving
-9 + 3x2 = 3

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x2 = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 3x2 = 3 + 9
3x2 = 3 + 9

Combine like terms: 3 + 9 = 12
3x2 = 12

Divide each side by '3'.
x2 = 4

Simplifying
x2 = 4

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