(7c-5)(8c+4)=

Solution for (7c-5)(8c+4)= equation:

Simplifying
(7c + -5)(8c + 4) = 0

Reorder the terms:
(-5 + 7c)(8c + 4) = 0

Reorder the terms:
(-5 + 7c)(4 + 8c) = 0

Multiply (-5 + 7c) * (4 + 8c)
(-5(4 + 8c) + 7c * (4 + 8c)) = 0
((4 * -5 + 8c * -5) + 7c * (4 + 8c)) = 0
((-20 + -40c) + 7c * (4 + 8c)) = 0
(-20 + -40c + (4 * 7c + 8c * 7c)) = 0
(-20 + -40c + (28c + 56c2)) = 0

Combine like terms: -40c + 28c = -12c
(-20 + -12c + 56c2) = 0

Solving
-20 + -12c + 56c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -3c + 14c2) = 0

Factor a trinomial.
4((-1 + -2c)(5 + -7c)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
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
Solution
c = {-0.5, 0.7142857143}