(-5c+4)(-6c+7)=

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Solution for (-5c+4)(-6c+7)= equation: 


Simplifying
(-5c + 4)(-6c + 7) = 0

Reorder the terms:
(4 + -5c)(-6c + 7) = 0

Reorder the terms:
(4 + -5c)(7 + -6c) = 0

Multiply (4 + -5c) * (7 + -6c)
(4(7 + -6c) + -5c * (7 + -6c)) = 0
((7 * 4 + -6c * 4) + -5c * (7 + -6c)) = 0
((28 + -24c) + -5c * (7 + -6c)) = 0
(28 + -24c + (7 * -5c + -6c * -5c)) = 0
(28 + -24c + (-35c + 30c2)) = 0

Combine like terms: -24c + -35c = -59c
(28 + -59c + 30c2) = 0

Solving
28 + -59c + 30c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(4 + -5c)(7 + -6c) = 0


Subproblem 1
Set the factor '(4 + -5c)' equal to zero and attempt to solve:

Simplifying
4 + -5c = 0

Solving
4 + -5c = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5c = 0 + -4
-5c = 0 + -4

Combine like terms: 0 + -4 = -4
-5c = -4

Divide each side by '-5'.
c = 0.8

Simplifying
c = 0.8

Subproblem 2
Set the factor '(7 + -6c)' equal to zero and attempt to solve:

Simplifying
7 + -6c = 0

Solving
7 + -6c = 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 + -6c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6c = 0 + -7
-6c = 0 + -7

Combine like terms: 0 + -7 = -7
-6c = -7

Divide each side by '-6'.
c = 1.166666667

Simplifying
c = 1.166666667
Solution
c = {0.8, 1.166666667}

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