-7n(9n-6)=0

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Solution for -7n(9n-6)=0 equation: 


Simplifying
-7n(9n + -6) = 0

Reorder the terms:
-7n(-6 + 9n) = 0
(-6 * -7n + 9n * -7n) = 0
(42n + -63n2) = 0

Solving
42n + -63n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '21n'.
21n(2 + -3n) = 0

Ignore the factor 21.

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

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, 0.6666666667}

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