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

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


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

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

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

Multiply (-5 + 2c) * (7 + 3c)
(-5(7 + 3c) + 2c * (7 + 3c)) = 0
((7 * -5 + 3c * -5) + 2c * (7 + 3c)) = 0
((-35 + -15c) + 2c * (7 + 3c)) = 0
(-35 + -15c + (7 * 2c + 3c * 2c)) = 0
(-35 + -15c + (14c + 6c2)) = 0

Combine like terms: -15c + 14c = -1c
(-35 + -1c + 6c2) = 0

Solving
-35 + -1c + 6c2 = 0

Solving for variable 'c'.

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


Subproblem 1
Set the factor '(-7 + -3c)' equal to zero and attempt to solve:

Simplifying
-7 + -3c = 0

Solving
-7 + -3c = 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 + -3c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3c = 0 + 7
-3c = 0 + 7

Combine like terms: 0 + 7 = 7
-3c = 7

Divide each side by '-3'.
c = -2.333333333

Simplifying
c = -2.333333333

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

Simplifying
5 + -2c = 0

Solving
5 + -2c = 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 + -2c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2c = 0 + -5
-2c = 0 + -5

Combine like terms: 0 + -5 = -5
-2c = -5

Divide each side by '-2'.
c = 2.5

Simplifying
c = 2.5
Solution
c = {-2.333333333, 2.5}

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