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

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

Simplifying
(3c + 4)(2c + -1) = 0

Reorder the terms:
(4 + 3c)(2c + -1) = 0

Reorder the terms:
(4 + 3c)(-1 + 2c) = 0

Multiply (4 + 3c) * (-1 + 2c)
(4(-1 + 2c) + 3c * (-1 + 2c)) = 0
((-1 * 4 + 2c * 4) + 3c * (-1 + 2c)) = 0
((-4 + 8c) + 3c * (-1 + 2c)) = 0
(-4 + 8c + (-1 * 3c + 2c * 3c)) = 0
(-4 + 8c + (-3c + 6c2)) = 0

Combine like terms: 8c + -3c = 5c
(-4 + 5c + 6c2) = 0

Solving
-4 + 5c + 6c2 = 0

Solving for variable 'c'.

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

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

Simplifying
-4 + -3c = 0

Solving
-4 + -3c = 0

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

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

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

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

Divide each side by '-3'.
c = -1.333333333

Simplifying
c = -1.333333333
Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve:

Simplifying
1 + -2c = 0

Solving
1 + -2c = 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 + -2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2c = 0 + -1
-2c = 0 + -1

Combine like terms: 0 + -1 = -1
-2c = -1

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {-1.333333333, 0.5}