(8c+9)(7c-2)=

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Solution for (8c+9)(7c-2)= equation: 


Simplifying
(8c + 9)(7c + -2) = 0

Reorder the terms:
(9 + 8c)(7c + -2) = 0

Reorder the terms:
(9 + 8c)(-2 + 7c) = 0

Multiply (9 + 8c) * (-2 + 7c)
(9(-2 + 7c) + 8c * (-2 + 7c)) = 0
((-2 * 9 + 7c * 9) + 8c * (-2 + 7c)) = 0
((-18 + 63c) + 8c * (-2 + 7c)) = 0
(-18 + 63c + (-2 * 8c + 7c * 8c)) = 0
(-18 + 63c + (-16c + 56c2)) = 0

Combine like terms: 63c + -16c = 47c
(-18 + 47c + 56c2) = 0

Solving
-18 + 47c + 56c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-9 + -8c)(2 + -7c) = 0


Subproblem 1
Set the factor '(-9 + -8c)' equal to zero and attempt to solve:

Simplifying
-9 + -8c = 0

Solving
-9 + -8c = 0

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

Add '9' to each side of the equation.
-9 + 9 + -8c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8c = 0 + 9
-8c = 0 + 9

Combine like terms: 0 + 9 = 9
-8c = 9

Divide each side by '-8'.
c = -1.125

Simplifying
c = -1.125

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 = {-1.125, 0.2857142857}

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