(3N+5)(3N-7)=

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Solution for (3N+5)(3N-7)= equation: 


Simplifying
(3N + 5)(3N + -7) = 0

Reorder the terms:
(5 + 3N)(3N + -7) = 0

Reorder the terms:
(5 + 3N)(-7 + 3N) = 0

Multiply (5 + 3N) * (-7 + 3N)
(5(-7 + 3N) + 3N * (-7 + 3N)) = 0
((-7 * 5 + 3N * 5) + 3N * (-7 + 3N)) = 0
((-35 + 15N) + 3N * (-7 + 3N)) = 0
(-35 + 15N + (-7 * 3N + 3N * 3N)) = 0
(-35 + 15N + (-21N + 9N2)) = 0

Combine like terms: 15N + -21N = -6N
(-35 + -6N + 9N2) = 0

Solving
-35 + -6N + 9N2 = 0

Solving for variable 'N'.

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


Subproblem 1
Set the factor '(-5 + -3N)' equal to zero and attempt to solve:

Simplifying
-5 + -3N = 0

Solving
-5 + -3N = 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 + -3N = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3N = 0 + 5
-3N = 0 + 5

Combine like terms: 0 + 5 = 5
-3N = 5

Divide each side by '-3'.
N = -1.666666667

Simplifying
N = -1.666666667

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 = {-1.666666667, 2.333333333}

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