Solve for y 2y^2-3y=0

Math
2y2-3y=0
Factor y out of 2y2-3y.
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Factor y out of 2y2.
y(2y)-3y=0
Factor y out of -3y.
y(2y)+y⋅-3=0
Factor y out of y(2y)+y⋅-3.
y(2y-3)=0
y(2y-3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
y=0
2y-3=0
Set the first factor equal to 0.
y=0
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
2y-3=0
Add 3 to both sides of the equation.
2y=3
Divide each term by 2 and simplify.
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Divide each term in 2y=3 by 2.
2y2=32
Cancel the common factor of 2.
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Cancel the common factor.
2y2=32
Divide y by 1.
y=32
y=32
y=32
y=32
The final solution is all the values that make y(2y-3)=0 true.
y=0,32
The result can be shown in multiple forms.
Exact Form:
y=0,32
Decimal Form:
y=0,1.5
Mixed Number Form:
y=0,112
Solve for y 2y^2-3y=0

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