# Solve for w (3w-24)(24w-3)=0

(3w-24)(24w-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.
3w-24=0
24w-3=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
3w-24=0
Add 24 to both sides of the equation.
3w=24
Divide each term by 3 and simplify.
Divide each term in 3w=24 by 3.
3w3=243
Cancel the common factor of 3.
Cancel the common factor.
3w3=243
Divide w by 1.
w=243
w=243
Divide 24 by 3.
w=8
w=8
w=8
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
24w-3=0
Add 3 to both sides of the equation.
24w=3
Divide each term by 24 and simplify.
Divide each term in 24w=3 by 24.
24w24=324
Cancel the common factor of 24.
Cancel the common factor.
24w24=324
Divide w by 1.
w=324
w=324
Cancel the common factor of 3 and 24.
Factor 3 out of 3.
w=3(1)24
Cancel the common factors.
Factor 3 out of 24.
w=3⋅13⋅8
Cancel the common factor.
w=3⋅13⋅8
Rewrite the expression.
w=18
w=18
w=18
w=18
w=18
The final solution is all the values that make (3w-24)(24w-3)=0 true.
w=8,18
The result can be shown in multiple forms.
Exact Form:
w=8,18
Decimal Form:
w=8,0.125
Solve for w (3w-24)(24w-3)=0

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