(14c+9)(5c-15)=0

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Solution for (14c+9)(5c-15)=0 equation: 


Simplifying
(14c + 9)(5c + -15) = 0

Reorder the terms:
(9 + 14c)(5c + -15) = 0

Reorder the terms:
(9 + 14c)(-15 + 5c) = 0

Multiply (9 + 14c) * (-15 + 5c)
(9(-15 + 5c) + 14c * (-15 + 5c)) = 0
((-15 * 9 + 5c * 9) + 14c * (-15 + 5c)) = 0
((-135 + 45c) + 14c * (-15 + 5c)) = 0
(-135 + 45c + (-15 * 14c + 5c * 14c)) = 0
(-135 + 45c + (-210c + 70c2)) = 0

Combine like terms: 45c + -210c = -165c
(-135 + -165c + 70c2) = 0

Solving
-135 + -165c + 70c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-27 + -33c + 14c2) = 0

Factor a trinomial.
5((-9 + -14c)(3 + -1c)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9 + -14c)' equal to zero and attempt to solve:

Simplifying
-9 + -14c = 0

Solving
-9 + -14c = 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 + -14c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -14c = 0 + 9
-14c = 0 + 9

Combine like terms: 0 + 9 = 9
-14c = 9

Divide each side by '-14'.
c = -0.6428571429

Simplifying
c = -0.6428571429

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 = {-0.6428571429, 3}

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