(9c-16)(c+7)=0

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Solution for (9c-16)(c+7)=0 equation: 


Simplifying
(9c + -16)(c + 7) = 0

Reorder the terms:
(-16 + 9c)(c + 7) = 0

Reorder the terms:
(-16 + 9c)(7 + c) = 0

Multiply (-16 + 9c) * (7 + c)
(-16(7 + c) + 9c * (7 + c)) = 0
((7 * -16 + c * -16) + 9c * (7 + c)) = 0
((-112 + -16c) + 9c * (7 + c)) = 0
(-112 + -16c + (7 * 9c + c * 9c)) = 0
(-112 + -16c + (63c + 9c2)) = 0

Combine like terms: -16c + 63c = 47c
(-112 + 47c + 9c2) = 0

Solving
-112 + 47c + 9c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-7 + -1c)(16 + -9c) = 0


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

Simplifying
-7 + -1c = 0

Solving
-7 + -1c = 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 + -1c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1c = 0 + 7
-1c = 0 + 7

Combine like terms: 0 + 7 = 7
-1c = 7

Divide each side by '-1'.
c = -7

Simplifying
c = -7

Subproblem 2
Set the factor '(16 + -9c)' equal to zero and attempt to solve:

Simplifying
16 + -9c = 0

Solving
16 + -9c = 0

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

Add '-16' to each side of the equation.
16 + -16 + -9c = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9c = 0 + -16
-9c = 0 + -16

Combine like terms: 0 + -16 = -16
-9c = -16

Divide each side by '-9'.
c = 1.777777778

Simplifying
c = 1.777777778
Solution
c = {-7, 1.777777778}

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