(3c-4)(7c-5)=

Solution for (3c-4)(7c-5)= equation:

Simplifying
(3c + -4)(7c + -5) = 0

Reorder the terms:
(-4 + 3c)(7c + -5) = 0

Reorder the terms:
(-4 + 3c)(-5 + 7c) = 0

Multiply (-4 + 3c) * (-5 + 7c)
(-4(-5 + 7c) + 3c * (-5 + 7c)) = 0
((-5 * -4 + 7c * -4) + 3c * (-5 + 7c)) = 0
((20 + -28c) + 3c * (-5 + 7c)) = 0
(20 + -28c + (-5 * 3c + 7c * 3c)) = 0
(20 + -28c + (-15c + 21c2)) = 0

Combine like terms: -28c + -15c = -43c
(20 + -43c + 21c2) = 0

Solving
20 + -43c + 21c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5 + -7c)(4 + -3c) = 0

Subproblem 1
Set the factor '(5 + -7c)' equal to zero and attempt to solve:

Simplifying
5 + -7c = 0

Solving
5 + -7c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7c = 0 + -5
-7c = 0 + -5

Combine like terms: 0 + -5 = -5
-7c = -5

Divide each side by '-7'.
c = 0.7142857143

Simplifying
c = 0.7142857143
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 = {0.7142857143, 1.333333333}