# Solve for w (8w+17)(11w-23)=0 (8w+17)(11w-23)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
8w+17=0
11w-23=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
8w+17=0
Subtract 17 from both sides of the equation.
8w=-17
Divide each term by 8 and simplify.
Divide each term in 8w=-17 by 8.
8w8=-178
Cancel the common factor of 8.
Cancel the common factor.
8w8=-178
Divide w by 1.
w=-178
w=-178
Move the negative in front of the fraction.
w=-178
w=-178
w=-178
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
11w-23=0
Add 23 to both sides of the equation.
11w=23
Divide each term by 11 and simplify.
Divide each term in 11w=23 by 11.
11w11=2311
Cancel the common factor of 11.
Cancel the common factor.
11w11=2311
Divide w by 1.
w=2311
w=2311
w=2311
w=2311
The final solution is all the values that make (8w+17)(11w-23)=0 true.
w=-178,2311
The result can be shown in multiple forms.
Exact Form:
w=-178,2311
Decimal Form:
w=-2.125,2.09‾
Mixed Number Form:
w=-218,2111
Solve for w (8w+17)(11w-23)=0

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