(c-3)(2c)=2c(c-3)-c^2+4

Solution for (c-3)(2c)=2c(c-3)-c^2+4 equation:

Simplifying
(c + -3)(2c) = 2c(c + -3) + -1c2 + 4

Reorder the terms:
(-3 + c)(2c) = 2c(c + -3) + -1c2 + 4

Remove parenthesis around (2c)
(-3 + c) * 2c = 2c(c + -3) + -1c2 + 4

Reorder the terms for easier multiplication:
2c(-3 + c) = 2c(c + -3) + -1c2 + 4
(-3 * 2c + c * 2c) = 2c(c + -3) + -1c2 + 4
(-6c + 2c2) = 2c(c + -3) + -1c2 + 4

Reorder the terms:
-6c + 2c2 = 2c(-3 + c) + -1c2 + 4
-6c + 2c2 = (-3 * 2c + c * 2c) + -1c2 + 4
-6c + 2c2 = (-6c + 2c2) + -1c2 + 4

Reorder the terms:
-6c + 2c2 = 4 + -6c + 2c2 + -1c2

Combine like terms: 2c2 + -1c2 = 1c2
-6c + 2c2 = 4 + -6c + 1c2

Add '6c' to each side of the equation.
-6c + 6c + 2c2 = 4 + -6c + 6c + 1c2

Combine like terms: -6c + 6c = 0
0 + 2c2 = 4 + -6c + 6c + 1c2
2c2 = 4 + -6c + 6c + 1c2

Combine like terms: -6c + 6c = 0
2c2 = 4 + 0 + 1c2
2c2 = 4 + 1c2

Solving
2c2 = 4 + 1c2

Solving for variable 'c'.

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

Add '-1c2' to each side of the equation.
2c2 + -1c2 = 4 + 1c2 + -1c2

Combine like terms: 2c2 + -1c2 = 1c2
1c2 = 4 + 1c2 + -1c2

Combine like terms: 1c2 + -1c2 = 0
1c2 = 4 + 0
1c2 = 4

Divide each side by '1'.
c2 = 4

Simplifying
c2 = 4

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