-7n(4n+9)=0

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Solution for -7n(4n+9)=0 equation: 


Simplifying
-7n(4n + 9) = 0

Reorder the terms:
-7n(9 + 4n) = 0
(9 * -7n + 4n * -7n) = 0
(-63n + -28n2) = 0

Solving
-63n + -28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-7n'.
-7n(9 + 4n) = 0

Ignore the factor -7.

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 '(9 + 4n)' equal to zero and attempt to solve:

Simplifying
9 + 4n = 0

Solving
9 + 4n = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4n = 0 + -9
4n = 0 + -9

Combine like terms: 0 + -9 = -9
4n = -9

Divide each side by '4'.
n = -2.25

Simplifying
n = -2.25
Solution
n = {0, -2.25}

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