# Solve Using the Square Root Property 9(x-6)(5x+4)=0 9(x-6)(5x+4)=0
Divide each term in 9(x-6)(5x+4)=0 by 9.
9(x-6)(5x+4)9=09
Cancel the common factor of 9.
Cancel the common factor.
9(x-6)(5x+4)9=09
Divide (x-6)(5x+4) by 1.
(x-6)(5x+4)=09
(x-6)(5x+4)=09
Divide 0 by 9.
(x-6)(5x+4)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x-6=0
5x+4=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
x-6=0
Add 6 to both sides of the equation.
x=6
x=6
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
5x+4=0
Subtract 4 from both sides of the equation.
5x=-4
Divide each term by 5 and simplify.
Divide each term in 5x=-4 by 5.
5×5=-45
Cancel the common factor of 5.
Cancel the common factor.
5×5=-45
Divide x by 1.
x=-45
x=-45
Move the negative in front of the fraction.
x=-45
x=-45
x=-45
The final solution is all the values that make 9(x-6)(5x+4)9=09 true.
x=6,-45
Solve Using the Square Root Property 9(x-6)(5x+4)=0     