(7c+9)(c+7)=47

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Solution for (7c+9)(c+7)=47 equation: 


Simplifying
(7c + 9)(c + 7) = 47

Reorder the terms:
(9 + 7c)(c + 7) = 47

Reorder the terms:
(9 + 7c)(7 + c) = 47

Multiply (9 + 7c) * (7 + c)
(9(7 + c) + 7c * (7 + c)) = 47
((7 * 9 + c * 9) + 7c * (7 + c)) = 47
((63 + 9c) + 7c * (7 + c)) = 47
(63 + 9c + (7 * 7c + c * 7c)) = 47
(63 + 9c + (49c + 7c2)) = 47

Combine like terms: 9c + 49c = 58c
(63 + 58c + 7c2) = 47

Solving
63 + 58c + 7c2 = 47

Solving for variable 'c'.

Reorder the terms:
63 + -47 + 58c + 7c2 = 47 + -47

Combine like terms: 63 + -47 = 16
16 + 58c + 7c2 = 47 + -47

Combine like terms: 47 + -47 = 0
16 + 58c + 7c2 = 0

Factor a trinomial.
(8 + c)(2 + 7c) = 0


Subproblem 1
Set the factor '(8 + c)' equal to zero and attempt to solve:

Simplifying
8 + c = 0

Solving
8 + c = 0

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

Add '-8' to each side of the equation.
8 + -8 + c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + c = 0 + -8
c = 0 + -8

Combine like terms: 0 + -8 = -8
c = -8

Simplifying
c = -8

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

Simplifying
2 + 7c = 0

Solving
2 + 7c = 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 + 7c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7c = 0 + -2
7c = 0 + -2

Combine like terms: 0 + -2 = -2
7c = -2

Divide each side by '7'.
c = -0.2857142857

Simplifying
c = -0.2857142857
Solution
c = {-8, -0.2857142857}

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