Solve Using the Square Root Property 2x(x-5)-(x-5)=0

Math
2x(x-5)-(x-5)=0
Factor x-5 out of 2x(x-5)-(x-5).
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Factor x-5 out of 2x(x-5).
(x-5)(2x)-(x-5)=0
Factor x-5 out of -(x-5).
(x-5)(2x)+(x-5)⋅-1=0
Factor x-5 out of (x-5)(2x)+(x-5)⋅-1.
(x-5)(2x-1)=0
(x-5)(2x-1)=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-5=0
2x-1=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
x-5=0
Add 5 to both sides of the equation.
x=5
x=5
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
2x-1=0
Add 1 to both sides of the equation.
2x=1
Divide each term by 2 and simplify.
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Divide each term in 2x=1 by 2.
2×2=12
Cancel the common factor of 2.
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Cancel the common factor.
2×2=12
Divide x by 1.
x=12
x=12
x=12
x=12
The final solution is all the values that make (x-5)(2x-1)=0 true.
x=5,12
Solve Using the Square Root Property 2x(x-5)-(x-5)=0

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