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

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


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

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

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

Multiply (4 + 7c) * (-7 + 3c)
(4(-7 + 3c) + 7c * (-7 + 3c)) = 0
((-7 * 4 + 3c * 4) + 7c * (-7 + 3c)) = 0
((-28 + 12c) + 7c * (-7 + 3c)) = 0
(-28 + 12c + (-7 * 7c + 3c * 7c)) = 0
(-28 + 12c + (-49c + 21c2)) = 0

Combine like terms: 12c + -49c = -37c
(-28 + -37c + 21c2) = 0

Solving
-28 + -37c + 21c2 = 0

Solving for variable 'c'.

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


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 '(7 + -3c)' equal to zero and attempt to solve:

Simplifying
7 + -3c = 0

Solving
7 + -3c = 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 + -3c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3c = 0 + -7
-3c = 0 + -7

Combine like terms: 0 + -7 = -7
-3c = -7

Divide each side by '-3'.
c = 2.333333333

Simplifying
c = 2.333333333
Solution
c = {-0.5714285714, 2.333333333}

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