4c^2+5c+2c=0

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Solution for 4c^2+5c+2c=0 equation: 


Simplifying
4c2 + 5c + 2c = 0

Reorder the terms:
5c + 2c + 4c2 = 0

Combine like terms: 5c + 2c = 7c
7c + 4c2 = 0

Solving
7c + 4c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(7 + 4c) = 0


Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(7 + 4c)' equal to zero and attempt to solve:

Simplifying
7 + 4c = 0

Solving
7 + 4c = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4c = 0 + -7
4c = 0 + -7

Combine like terms: 0 + -7 = -7
4c = -7

Divide each side by '4'.
c = -1.75

Simplifying
c = -1.75
Solution
c = {0, -1.75}

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