(c+2)(4c-3)=

Solution for (c+2)(4c-3)= equation:

Simplifying
(c + 2)(4c + -3) = 0

Reorder the terms:
(2 + c)(4c + -3) = 0

Reorder the terms:
(2 + c)(-3 + 4c) = 0

Multiply (2 + c) * (-3 + 4c)
(2(-3 + 4c) + c(-3 + 4c)) = 0
((-3 * 2 + 4c * 2) + c(-3 + 4c)) = 0
((-6 + 8c) + c(-3 + 4c)) = 0
(-6 + 8c + (-3 * c + 4c * c)) = 0
(-6 + 8c + (-3c + 4c2)) = 0

Combine like terms: 8c + -3c = 5c
(-6 + 5c + 4c2) = 0

Solving
-6 + 5c + 4c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-2 + -1c)(3 + -4c) = 0

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

Simplifying
-2 + -1c = 0

Solving
-2 + -1c = 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 + -1c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1c = 0 + 2
-1c = 0 + 2

Combine like terms: 0 + 2 = 2
-1c = 2

Divide each side by '-1'.
c = -2

Simplifying
c = -2
Subproblem 2
Set the factor '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 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 + -4c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4c = 0 + -3
-4c = 0 + -3

Combine like terms: 0 + -3 = -3
-4c = -3

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
Solution
c = {-2, 0.75}