(7n-7)(4n-5)=

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Solution for (7n-7)(4n-5)= equation: 


Simplifying
(7n + -7)(4n + -5) = 0

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

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

Multiply (-7 + 7n) * (-5 + 4n)
(-7(-5 + 4n) + 7n * (-5 + 4n)) = 0
((-5 * -7 + 4n * -7) + 7n * (-5 + 4n)) = 0
((35 + -28n) + 7n * (-5 + 4n)) = 0
(35 + -28n + (-5 * 7n + 4n * 7n)) = 0
(35 + -28n + (-35n + 28n2)) = 0

Combine like terms: -28n + -35n = -63n
(35 + -63n + 28n2) = 0

Solving
35 + -63n + 28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '7'.
7(5 + -9n + 4n2) = 0

Factor a trinomial.
7((1 + -1n)(5 + -4n)) = 0

Ignore the factor 7.

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1

Subproblem 2
Set the factor '(5 + -4n)' equal to zero and attempt to solve:

Simplifying
5 + -4n = 0

Solving
5 + -4n = 0

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

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

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

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

Divide each side by '-4'.
n = 1.25

Simplifying
n = 1.25
Solution
n = {1, 1.25}

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