(5c+4)(6c-1)=

Solution for (5c+4)(6c-1)= equation:

Simplifying
(5c + 4)(6c + -1) = 0

Reorder the terms:
(4 + 5c)(6c + -1) = 0

Reorder the terms:
(4 + 5c)(-1 + 6c) = 0

Multiply (4 + 5c) * (-1 + 6c)
(4(-1 + 6c) + 5c * (-1 + 6c)) = 0
((-1 * 4 + 6c * 4) + 5c * (-1 + 6c)) = 0
((-4 + 24c) + 5c * (-1 + 6c)) = 0
(-4 + 24c + (-1 * 5c + 6c * 5c)) = 0
(-4 + 24c + (-5c + 30c2)) = 0

Combine like terms: 24c + -5c = 19c
(-4 + 19c + 30c2) = 0

Solving
-4 + 19c + 30c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-4 + -5c)(1 + -6c) = 0

Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve:

Simplifying
-4 + -5c = 0

Solving
-4 + -5c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5c = 0 + 4
-5c = 0 + 4

Combine like terms: 0 + 4 = 4
-5c = 4

Divide each side by '-5'.
c = -0.8

Simplifying
c = -0.8
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 = {-0.8, 0.1666666667}