(7c+4)(3c-9)=0

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Solution for (7c+4)(3c-9)=0 equation: 


Simplifying
(7c + 4)(3c + -9) = 0

Reorder the terms:
(4 + 7c)(3c + -9) = 0

Reorder the terms:
(4 + 7c)(-9 + 3c) = 0

Multiply (4 + 7c) * (-9 + 3c)
(4(-9 + 3c) + 7c * (-9 + 3c)) = 0
((-9 * 4 + 3c * 4) + 7c * (-9 + 3c)) = 0
((-36 + 12c) + 7c * (-9 + 3c)) = 0
(-36 + 12c + (-9 * 7c + 3c * 7c)) = 0
(-36 + 12c + (-63c + 21c2)) = 0

Combine like terms: 12c + -63c = -51c
(-36 + -51c + 21c2) = 0

Solving
-36 + -51c + 21c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -17c + 7c2) = 0

Factor a trinomial.
3((-4 + -7c)(3 + -1c)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -7c)' equal to zero and attempt to solve:

Simplifying
-4 + -7c = 0

Solving
-4 + -7c = 0

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

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

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

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

Divide each side by '-7'.
c = -0.5714285714

Simplifying
c = -0.5714285714

Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 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 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {-0.5714285714, 3}

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