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

Solution for 4c(1+c)=3(c-2) equation:

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

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

Solving
4c + 4c2 = -6 + 3c

Solving for variable 'c'.

Reorder the terms:
6 + 4c + -3c + 4c2 = -6 + 3c + 6 + -3c

Combine like terms: 4c + -3c = 1c
6 + 1c + 4c2 = -6 + 3c + 6 + -3c

Reorder the terms:
6 + 1c + 4c2 = -6 + 6 + 3c + -3c

Combine like terms: -6 + 6 = 0
6 + 1c + 4c2 = 0 + 3c + -3c
6 + 1c + 4c2 = 3c + -3c

Combine like terms: 3c + -3c = 0
6 + 1c + 4c2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.5 + 0.25c + c2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.25c + -1.5 + c2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.25c + c2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.25c + c2 = 0 + -1.5
0.25c + c2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.25c + c2 = -1.5

The c term is 0.25c.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25c + 0.015625 + c2 = -1.5 + 0.015625

Reorder the terms:
0.015625 + 0.25c + c2 = -1.5 + 0.015625

Combine like terms: -1.5 + 0.015625 = -1.484375
0.015625 + 0.25c + c2 = -1.484375

Factor a perfect square on the left side:
(c + 0.125)(c + 0.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.