(3c-2)(7c-5)=

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Solution for (3c-2)(7c-5)= equation: 


Simplifying
(3c + -2)(7c + -5) = 0

Reorder the terms:
(-2 + 3c)(7c + -5) = 0

Reorder the terms:
(-2 + 3c)(-5 + 7c) = 0

Multiply (-2 + 3c) * (-5 + 7c)
(-2(-5 + 7c) + 3c * (-5 + 7c)) = 0
((-5 * -2 + 7c * -2) + 3c * (-5 + 7c)) = 0
((10 + -14c) + 3c * (-5 + 7c)) = 0
(10 + -14c + (-5 * 3c + 7c * 3c)) = 0
(10 + -14c + (-15c + 21c2)) = 0

Combine like terms: -14c + -15c = -29c
(10 + -29c + 21c2) = 0

Solving
10 + -29c + 21c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2 + -3c)(5 + -7c) = 0


Subproblem 1
Set the factor '(2 + -3c)' equal to zero and attempt to solve:

Simplifying
2 + -3c = 0

Solving
2 + -3c = 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 + -3c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3c = 0 + -2
-3c = 0 + -2

Combine like terms: 0 + -2 = -2
-3c = -2

Divide each side by '-3'.
c = 0.6666666667

Simplifying
c = 0.6666666667

Subproblem 2
Set the factor '(5 + -7c)' equal to zero and attempt to solve:

Simplifying
5 + -7c = 0

Solving
5 + -7c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7c = 0 + -5
-7c = 0 + -5

Combine like terms: 0 + -5 = -5
-7c = -5

Divide each side by '-7'.
c = 0.7142857143

Simplifying
c = 0.7142857143
Solution
c = {0.6666666667, 0.7142857143}

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