(6c-1)(7c+3)=

Solution for (6c-1)(7c+3)= equation:

Simplifying
(6c + -1)(7c + 3) = 0

Reorder the terms:
(-1 + 6c)(7c + 3) = 0

Reorder the terms:
(-1 + 6c)(3 + 7c) = 0

Multiply (-1 + 6c) * (3 + 7c)
(-1(3 + 7c) + 6c * (3 + 7c)) = 0
((3 * -1 + 7c * -1) + 6c * (3 + 7c)) = 0
((-3 + -7c) + 6c * (3 + 7c)) = 0
(-3 + -7c + (3 * 6c + 7c * 6c)) = 0
(-3 + -7c + (18c + 42c2)) = 0

Combine like terms: -7c + 18c = 11c
(-3 + 11c + 42c2) = 0

Solving
-3 + 11c + 42c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -7c)(1 + -6c) = 0

Subproblem 1
Set the factor '(-3 + -7c)' equal to zero and attempt to solve:

Simplifying
-3 + -7c = 0

Solving
-3 + -7c = 0

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

Add '3' to each side of the equation.
-3 + 3 + -7c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7c = 0 + 3
-7c = 0 + 3

Combine like terms: 0 + 3 = 3
-7c = 3

Divide each side by '-7'.
c = -0.4285714286

Simplifying
c = -0.4285714286
Subproblem 2
Set the factor '(1 + -6c)' equal to zero and attempt to solve:

Simplifying
1 + -6c = 0

Solving
1 + -6c = 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 + -6c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6c = 0 + -1
-6c = 0 + -1

Combine like terms: 0 + -1 = -1
-6c = -1

Divide each side by '-6'.
c = 0.1666666667

Simplifying
c = 0.1666666667
Solution
c = {-0.4285714286, 0.1666666667}