(6c-35)(2c+1)=

Solution for (6c-35)(2c+1)= equation:

Simplifying
(6c + -35)(2c + 1) = 0

Reorder the terms:
(-35 + 6c)(2c + 1) = 0

Reorder the terms:
(-35 + 6c)(1 + 2c) = 0

Multiply (-35 + 6c) * (1 + 2c)
(-35(1 + 2c) + 6c * (1 + 2c)) = 0
((1 * -35 + 2c * -35) + 6c * (1 + 2c)) = 0
((-35 + -70c) + 6c * (1 + 2c)) = 0
(-35 + -70c + (1 * 6c + 2c * 6c)) = 0
(-35 + -70c + (6c + 12c2)) = 0

Combine like terms: -70c + 6c = -64c
(-35 + -64c + 12c2) = 0

Solving
-35 + -64c + 12c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-1 + -2c)(35 + -6c) = 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 '(35 + -6c)' equal to zero and attempt to solve:

Simplifying
35 + -6c = 0

Solving
35 + -6c = 0

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

Add '-35' to each side of the equation.
35 + -35 + -6c = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -6c = 0 + -35
-6c = 0 + -35

Combine like terms: 0 + -35 = -35
-6c = -35

Divide each side by '-6'.
c = 5.833333333

Simplifying
c = 5.833333333
Solution
c = {-0.5, 5.833333333}