# Solve using the Square Root Property (3x-12)(2x+9)=0 (3x-12)(2x+9)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
3x-12=0
2x+9=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
3x-12=0
Add 12 to both sides of the equation.
3x=12
Divide each term by 3 and simplify.
Divide each term in 3x=12 by 3.
3×3=123
Cancel the common factor of 3.
Cancel the common factor.
3×3=123
Divide x by 1.
x=123
x=123
Divide 12 by 3.
x=4
x=4
x=4
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
2x+9=0
Subtract 9 from both sides of the equation.
2x=-9
Divide each term by 2 and simplify.
Divide each term in 2x=-9 by 2.
2×2=-92
Cancel the common factor of 2.
Cancel the common factor.
2×2=-92
Divide x by 1.
x=-92
x=-92
Move the negative in front of the fraction.
x=-92
x=-92
x=-92
The final solution is all the values that make (3x-12)(2x+9)=0 true.
x=4,-92
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