(4c-1)(7c+2)=

Solution for (4c-1)(7c+2)= equation:

Simplifying
(4c + -1)(7c + 2) = 0

Reorder the terms:
(-1 + 4c)(7c + 2) = 0

Reorder the terms:
(-1 + 4c)(2 + 7c) = 0

Multiply (-1 + 4c) * (2 + 7c)
(-1(2 + 7c) + 4c * (2 + 7c)) = 0
((2 * -1 + 7c * -1) + 4c * (2 + 7c)) = 0
((-2 + -7c) + 4c * (2 + 7c)) = 0
(-2 + -7c + (2 * 4c + 7c * 4c)) = 0
(-2 + -7c + (8c + 28c2)) = 0

Combine like terms: -7c + 8c = 1c
(-2 + 1c + 28c2) = 0

Solving
-2 + 1c + 28c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -7c)(1 + -4c) = 0

Subproblem 1
Set the factor '(-2 + -7c)' equal to zero and attempt to solve:

Simplifying
-2 + -7c = 0

Solving
-2 + -7c = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7c = 0 + 2
-7c = 0 + 2

Combine like terms: 0 + 2 = 2
-7c = 2

Divide each side by '-7'.
c = -0.2857142857

Simplifying
c = -0.2857142857
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 = {-0.2857142857, 0.25}