(-5c+2)(-7c+6)=

Solution for (-5c+2)(-7c+6)= equation:

Simplifying
(-5c + 2)(-7c + 6) = 0

Reorder the terms:
(2 + -5c)(-7c + 6) = 0

Reorder the terms:
(2 + -5c)(6 + -7c) = 0

Multiply (2 + -5c) * (6 + -7c)
(2(6 + -7c) + -5c * (6 + -7c)) = 0
((6 * 2 + -7c * 2) + -5c * (6 + -7c)) = 0
((12 + -14c) + -5c * (6 + -7c)) = 0
(12 + -14c + (6 * -5c + -7c * -5c)) = 0
(12 + -14c + (-30c + 35c2)) = 0

Combine like terms: -14c + -30c = -44c
(12 + -44c + 35c2) = 0

Solving
12 + -44c + 35c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2 + -5c)(6 + -7c) = 0

Subproblem 1
Set the factor '(2 + -5c)' equal to zero and attempt to solve:

Simplifying
2 + -5c = 0

Solving
2 + -5c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5c = 0 + -2
-5c = 0 + -2

Combine like terms: 0 + -2 = -2
-5c = -2

Divide each side by '-5'.
c = 0.4

Simplifying
c = 0.4
Subproblem 2
Set the factor '(6 + -7c)' equal to zero and attempt to solve:

Simplifying
6 + -7c = 0

Solving
6 + -7c = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7c = 0 + -6
-7c = 0 + -6

Combine like terms: 0 + -6 = -6
-7c = -6

Divide each side by '-7'.
c = 0.8571428571

Simplifying
c = 0.8571428571
Solution
c = {0.4, 0.8571428571}