# Solve for n -3n(2n-5)=0

-3n(2n-5)=0
Divide each term in -3n(2n-5)=0 by -3.
-3n(2n-5)-3=0-3
Cancel the common factor of -3.
Cancel the common factor.
-3n(2n-5)-3=0-3
Divide n(2n-5) by 1.
n(2n-5)=0-3
n(2n-5)=0-3
Divide 0 by -3.
n(2n-5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
n=0
2n-5=0
Set the first factor equal to 0.
n=0
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
2n-5=0
Add 5 to both sides of the equation.
2n=5
Divide each term by 2 and simplify.
Divide each term in 2n=5 by 2.
2n2=52
Cancel the common factor of 2.
Cancel the common factor.
2n2=52
Divide n by 1.
n=52
n=52
n=52
n=52
The final solution is all the values that make -3n(2n-5)-3=0-3 true.
n=0,52
The result can be shown in multiple forms.
Exact Form:
n=0,52
Decimal Form:
n=0,2.5
Mixed Number Form:
n=0,212
Solve for n -3n(2n-5)=0

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