(2c+1)(7c-5)=

Solution for (2c+1)(7c-5)= equation:

Simplifying
(2c + 1)(7c + -5) = 0

Reorder the terms:
(1 + 2c)(7c + -5) = 0

Reorder the terms:
(1 + 2c)(-5 + 7c) = 0

Multiply (1 + 2c) * (-5 + 7c)
(1(-5 + 7c) + 2c * (-5 + 7c)) = 0
((-5 * 1 + 7c * 1) + 2c * (-5 + 7c)) = 0
((-5 + 7c) + 2c * (-5 + 7c)) = 0
(-5 + 7c + (-5 * 2c + 7c * 2c)) = 0
(-5 + 7c + (-10c + 14c2)) = 0

Combine like terms: 7c + -10c = -3c
(-5 + -3c + 14c2) = 0

Solving
-5 + -3c + 14c2 = 0

Solving for variable 'c'.

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

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}