(-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 = 29c
(-35 + 29c + -6c2) = 0

Solving
-35 + 29c + -6c2 = 0

Solving for variable 'c'.

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


Subproblem 1
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

Subproblem 2
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
Solution
c = {2.5, 2.333333333}

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