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

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


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

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

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

Multiply (-5 + 7c) * (7 + 8c)
(-5(7 + 8c) + 7c * (7 + 8c)) = 0
((7 * -5 + 8c * -5) + 7c * (7 + 8c)) = 0
((-35 + -40c) + 7c * (7 + 8c)) = 0
(-35 + -40c + (7 * 7c + 8c * 7c)) = 0
(-35 + -40c + (49c + 56c2)) = 0

Combine like terms: -40c + 49c = 9c
(-35 + 9c + 56c2) = 0

Solving
-35 + 9c + 56c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -8c)(5 + -7c) = 0


Subproblem 1
Set the factor '(-7 + -8c)' equal to zero and attempt to solve:

Simplifying
-7 + -8c = 0

Solving
-7 + -8c = 0

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

Add '7' to each side of the equation.
-7 + 7 + -8c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8c = 0 + 7
-8c = 0 + 7

Combine like terms: 0 + 7 = 7
-8c = 7

Divide each side by '-8'.
c = -0.875

Simplifying
c = -0.875

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 = {-0.875, 0.7142857143}

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