(3c-4)(4c+6)=

Solution for (3c-4)(4c+6)= equation:

Simplifying
(3c + -4)(4c + 6) = 0

Reorder the terms:
(-4 + 3c)(4c + 6) = 0

Reorder the terms:
(-4 + 3c)(6 + 4c) = 0

Multiply (-4 + 3c) * (6 + 4c)
(-4(6 + 4c) + 3c * (6 + 4c)) = 0
((6 * -4 + 4c * -4) + 3c * (6 + 4c)) = 0
((-24 + -16c) + 3c * (6 + 4c)) = 0
(-24 + -16c + (6 * 3c + 4c * 3c)) = 0
(-24 + -16c + (18c + 12c2)) = 0

Combine like terms: -16c + 18c = 2c
(-24 + 2c + 12c2) = 0

Solving
-24 + 2c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + c + 6c2) = 0

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

Ignore the factor 2.
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 '(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
Solution
c = {-1.5, 1.333333333}