(4n-7)(8n-7)=

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Solution for (4n-7)(8n-7)= equation:


Simplifying
(4n + -7)(8n + -7) = 0

Reorder the terms:
(-7 + 4n)(8n + -7) = 0

Reorder the terms:
(-7 + 4n)(-7 + 8n) = 0

Multiply (-7 + 4n) * (-7 + 8n)
(-7(-7 + 8n) + 4n * (-7 + 8n)) = 0
((-7 * -7 + 8n * -7) + 4n * (-7 + 8n)) = 0
((49 + -56n) + 4n * (-7 + 8n)) = 0
(49 + -56n + (-7 * 4n + 8n * 4n)) = 0
(49 + -56n + (-28n + 32n2)) = 0

Combine like terms: -56n + -28n = -84n
(49 + -84n + 32n2) = 0

Solving
49 + -84n + 32n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + -8n)(7 + -4n) = 0


Subproblem 1
Set the factor '(7 + -8n)' equal to zero and attempt to solve:

Simplifying
7 + -8n = 0

Solving
7 + -8n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8n = 0 + -7
-8n = 0 + -7

Combine like terms: 0 + -7 = -7
-8n = -7

Divide each side by '-8'.
n = 0.875

Simplifying
n = 0.875

Subproblem 2
Set the factor '(7 + -4n)' equal to zero and attempt to solve:

Simplifying
7 + -4n = 0

Solving
7 + -4n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4n = 0 + -7
-4n = 0 + -7

Combine like terms: 0 + -7 = -7
-4n = -7

Divide each side by '-4'.
n = 1.75

Simplifying
n = 1.75
Solution
n = {0.875, 1.75}

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