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

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Solution for (3n+6)(n-2)=0 equation:


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

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

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

Multiply (6 + 3n) * (-2 + n)
(6(-2 + n) + 3n * (-2 + n)) = 0
((-2 * 6 + n * 6) + 3n * (-2 + n)) = 0
((-12 + 6n) + 3n * (-2 + n)) = 0
(-12 + 6n + (-2 * 3n + n * 3n)) = 0
(-12 + 6n + (-6n + 3n2)) = 0

Combine like terms: 6n + -6n = 0
(-12 + 0 + 3n2) = 0
(-12 + 3n2) = 0

Solving
-12 + 3n2 = 0

Solving for variable 'n'.

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

Add '12' to each side of the equation.
-12 + 12 + 3n2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3n2 = 0 + 12
3n2 = 0 + 12

Combine like terms: 0 + 12 = 12
3n2 = 12

Divide each side by '3'.
n2 = 4

Simplifying
n2 = 4

Take the square root of each side:
n = {-2, 2}

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