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

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

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

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

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

Multiply (-1 + 4c) * (6 + 5c)
(-1(6 + 5c) + 4c * (6 + 5c)) = 0
((6 * -1 + 5c * -1) + 4c * (6 + 5c)) = 0
((-6 + -5c) + 4c * (6 + 5c)) = 0
(-6 + -5c + (6 * 4c + 5c * 4c)) = 0
(-6 + -5c + (24c + 20c2)) = 0

Combine like terms: -5c + 24c = 19c
(-6 + 19c + 20c2) = 0

Solving
-6 + 19c + 20c2 = 0

Solving for variable 'c'.

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

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

Simplifying
-6 + -5c = 0

Solving
-6 + -5c = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5c = 0 + 6

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

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

Divide each side by '-5'.
c = -1.2

Simplifying
c = -1.2
Subproblem 2
Set the factor '(1 + -4c)' equal to zero and attempt to solve:

Simplifying
1 + -4c = 0

Solving
1 + -4c = 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 + -4c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4c = 0 + -1
-4c = 0 + -1

Combine like terms: 0 + -1 = -1
-4c = -1

Divide each side by '-4'.
c = 0.25

Simplifying
c = 0.25
Solution
c = {-1.2, 0.25}