(3n-2)(6n+5)=

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Solution for (3n-2)(6n+5)= equation: 


Simplifying
(3n + -2)(6n + 5) = 0

Reorder the terms:
(-2 + 3n)(6n + 5) = 0

Reorder the terms:
(-2 + 3n)(5 + 6n) = 0

Multiply (-2 + 3n) * (5 + 6n)
(-2(5 + 6n) + 3n * (5 + 6n)) = 0
((5 * -2 + 6n * -2) + 3n * (5 + 6n)) = 0
((-10 + -12n) + 3n * (5 + 6n)) = 0
(-10 + -12n + (5 * 3n + 6n * 3n)) = 0
(-10 + -12n + (15n + 18n2)) = 0

Combine like terms: -12n + 15n = 3n
(-10 + 3n + 18n2) = 0

Solving
-10 + 3n + 18n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + -6n)(2 + -3n) = 0


Subproblem 1
Set the factor '(-5 + -6n)' equal to zero and attempt to solve:

Simplifying
-5 + -6n = 0

Solving
-5 + -6n = 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 + -6n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6n = 0 + 5
-6n = 0 + 5

Combine like terms: 0 + 5 = 5
-6n = 5

Divide each side by '-6'.
n = -0.8333333333

Simplifying
n = -0.8333333333

Subproblem 2
Set the factor '(2 + -3n)' equal to zero and attempt to solve:

Simplifying
2 + -3n = 0

Solving
2 + -3n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = 0 + -2
-3n = 0 + -2

Combine like terms: 0 + -2 = -2
-3n = -2

Divide each side by '-3'.
n = 0.6666666667

Simplifying
n = 0.6666666667
Solution
n = {-0.8333333333, 0.6666666667}

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