3(2x-7)+2x(x-3)=3

Solution for 3(2x-7)+2x(x-3)=3 equation:

Simplifying
3(2x + -7) + 2x(x + -3) = 3

Reorder the terms:
3(-7 + 2x) + 2x(x + -3) = 3
(-7 * 3 + 2x * 3) + 2x(x + -3) = 3
(-21 + 6x) + 2x(x + -3) = 3

Reorder the terms:
-21 + 6x + 2x(-3 + x) = 3
-21 + 6x + (-3 * 2x + x * 2x) = 3
-21 + 6x + (-6x + 2x2) = 3

Combine like terms: 6x + -6x = 0
-21 + 0 + 2x2 = 3
-21 + 2x2 = 3

Solving
-21 + 2x2 = 3

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 2x2 = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 2x2 = 3 + 21
2x2 = 3 + 21

Combine like terms: 3 + 21 = 24
2x2 = 24

Divide each side by '2'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}