x*2x-3*2=3

Solution for x*2x-3*2=3 equation:

Simplifying
x * 2x + -3 * 2 = 3

Reorder the terms for easier multiplication:
2x * x + -3 * 2 = 3

Multiply x * x
2x2 + -3 * 2 = 3

Multiply -3 * 2
2x2 + -6 = 3

Reorder the terms:
-6 + 2x2 = 3

Solving
-6 + 2x2 = 3

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x2 = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 3 + 6
2x2 = 3 + 6

Combine like terms: 3 + 6 = 9
2x2 = 9

Divide each side by '2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}