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

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

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

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

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

Multiply (3 + 2c) * (-3 + 4c)
(3(-3 + 4c) + 2c * (-3 + 4c)) = 0
((-3 * 3 + 4c * 3) + 2c * (-3 + 4c)) = 0
((-9 + 12c) + 2c * (-3 + 4c)) = 0
(-9 + 12c + (-3 * 2c + 4c * 2c)) = 0
(-9 + 12c + (-6c + 8c2)) = 0

Combine like terms: 12c + -6c = 6c
(-9 + 6c + 8c2) = 0

Solving
-9 + 6c + 8c2 = 0

Solving for variable 'c'.

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

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

Simplifying
-3 + -2c = 0

Solving
-3 + -2c = 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 + -2c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2c = 0 + 3
-2c = 0 + 3

Combine like terms: 0 + 3 = 3
-2c = 3

Divide each side by '-2'.
c = -1.5

Simplifying
c = -1.5
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 = {-1.5, 0.75}