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

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

Simplifying
(4c + -3)(2c + 2) = 0

Reorder the terms:
(-3 + 4c)(2c + 2) = 0

Reorder the terms:
(-3 + 4c)(2 + 2c) = 0

Multiply (-3 + 4c) * (2 + 2c)
(-3(2 + 2c) + 4c * (2 + 2c)) = 0
((2 * -3 + 2c * -3) + 4c * (2 + 2c)) = 0
((-6 + -6c) + 4c * (2 + 2c)) = 0
(-6 + -6c + (2 * 4c + 2c * 4c)) = 0
(-6 + -6c + (8c + 8c2)) = 0

Combine like terms: -6c + 8c = 2c
(-6 + 2c + 8c2) = 0

Solving
-6 + 2c + 8c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + c + 4c2) = 0

Factor a trinomial.
2((-1 + -1c)(3 + -4c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -1c)' equal to zero and attempt to solve:

Simplifying
-1 + -1c = 0

Solving
-1 + -1c = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1c = 0 + 1
-1c = 0 + 1

Combine like terms: 0 + 1 = 1
-1c = 1

Divide each side by '-1'.
c = -1

Simplifying
c = -1
Subproblem 2
Set the factor '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4c = 0 + -3
-4c = 0 + -3

Combine like terms: 0 + -3 = -3
-4c = -3

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
Solution
c = {-1, 0.75}