(c+5)(4c-2)=

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Solution for (c+5)(4c-2)= equation: 


Simplifying
(c + 5)(4c + -2) = 0

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

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

Multiply (5 + c) * (-2 + 4c)
(5(-2 + 4c) + c(-2 + 4c)) = 0
((-2 * 5 + 4c * 5) + c(-2 + 4c)) = 0
((-10 + 20c) + c(-2 + 4c)) = 0
(-10 + 20c + (-2 * c + 4c * c)) = 0
(-10 + 20c + (-2c + 4c2)) = 0

Combine like terms: 20c + -2c = 18c
(-10 + 18c + 4c2) = 0

Solving
-10 + 18c + 4c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 9c + 2c2) = 0

Factor a trinomial.
2((-5 + -1c)(1 + -2c)) = 0

Ignore the factor 2.

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

Simplifying
-5 + -1c = 0

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

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

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

Divide each side by '-1'.
c = -5

Simplifying
c = -5

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

Simplifying
1 + -2c = 0

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

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

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

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Solution
c = {-5, 0.5}

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