(5c-1)(6c+5)=

Solution for (5c-1)(6c+5)= equation:

Simplifying
(5c + -1)(6c + 5) = 0

Reorder the terms:
(-1 + 5c)(6c + 5) = 0

Reorder the terms:
(-1 + 5c)(5 + 6c) = 0

Multiply (-1 + 5c) * (5 + 6c)
(-1(5 + 6c) + 5c * (5 + 6c)) = 0
((5 * -1 + 6c * -1) + 5c * (5 + 6c)) = 0
((-5 + -6c) + 5c * (5 + 6c)) = 0
(-5 + -6c + (5 * 5c + 6c * 5c)) = 0
(-5 + -6c + (25c + 30c2)) = 0

Combine like terms: -6c + 25c = 19c
(-5 + 19c + 30c2) = 0

Solving
-5 + 19c + 30c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-5 + -6c)(1 + -5c) = 0

Subproblem 1
Set the factor '(-5 + -6c)' equal to zero and attempt to solve:

Simplifying
-5 + -6c = 0

Solving
-5 + -6c = 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 + -6c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6c = 0 + 5
-6c = 0 + 5

Combine like terms: 0 + 5 = 5
-6c = 5

Divide each side by '-6'.
c = -0.8333333333

Simplifying
c = -0.8333333333
Subproblem 2
Set the factor '(1 + -5c)' equal to zero and attempt to solve:

Simplifying
1 + -5c = 0

Solving
1 + -5c = 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 + -5c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5c = 0 + -1
-5c = 0 + -1

Combine like terms: 0 + -1 = -1
-5c = -1

Divide each side by '-5'.
c = 0.2

Simplifying
c = 0.2
Solution
c = {-0.8333333333, 0.2}