# Solve using the Square Root Property (2x-4)(5x+7)=0 (2x-4)(5x+7)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x-4=0
5x+7=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
2x-4=0
Add 4 to both sides of the equation.
2x=4
Divide each term by 2 and simplify.
Divide each term in 2x=4 by 2.
2×2=42
Cancel the common factor of 2.
Cancel the common factor.
2×2=42
Divide x by 1.
x=42
x=42
Divide 4 by 2.
x=2
x=2
x=2
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
5x+7=0
Subtract 7 from both sides of the equation.
5x=-7
Divide each term by 5 and simplify.
Divide each term in 5x=-7 by 5.
5×5=-75
Cancel the common factor of 5.
Cancel the common factor.
5×5=-75
Divide x by 1.
x=-75
x=-75
Move the negative in front of the fraction.
x=-75
x=-75
x=-75
The final solution is all the values that make (2x-4)(5x+7)=0 true.
x=2,-75
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