(3n-7)(3n-3)=

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Solution for (3n-7)(3n-3)= equation:


Simplifying
(3n + -7)(3n + -3) = 0

Reorder the terms:
(-7 + 3n)(3n + -3) = 0

Reorder the terms:
(-7 + 3n)(-3 + 3n) = 0

Multiply (-7 + 3n) * (-3 + 3n)
(-7(-3 + 3n) + 3n * (-3 + 3n)) = 0
((-3 * -7 + 3n * -7) + 3n * (-3 + 3n)) = 0
((21 + -21n) + 3n * (-3 + 3n)) = 0
(21 + -21n + (-3 * 3n + 3n * 3n)) = 0
(21 + -21n + (-9n + 9n2)) = 0

Combine like terms: -21n + -9n = -30n
(21 + -30n + 9n2) = 0

Solving
21 + -30n + 9n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + -10n + 3n2) = 0

Factor a trinomial.
3((1 + -1n)(7 + -3n)) = 0

Ignore the factor 3.

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 '(7 + -3n)' equal to zero and attempt to solve:

Simplifying
7 + -3n = 0

Solving
7 + -3n = 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 + -3n = 0 + -7

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

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

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

Simplifying
n = 2.333333333
Solution
n = {1, 2.333333333}

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