Solve for w 7/(9w)=-21

79w=-21
Multiply each term by w and simplify.
Multiply each term in 79w=-21 by w.
79w⋅w=-21⋅w
Cancel the common factor of w.
Factor w out of 9w.
7w⋅9⋅w=-21⋅w
Cancel the common factor.
7w⋅9⋅w=-21⋅w
Rewrite the expression.
79=-21⋅w
79=-21w
79=-21w
Rewrite the equation as -21w=79.
-21w=79
Divide each term by -21 and simplify.
Divide each term in -21w=79 by -21.
-21w-21=79⋅(-121)
Cancel the common factor of -21.
Cancel the common factor.
-21w-21=79⋅(-121)
Divide w by 1.
w=79⋅(-121)
w=79⋅(-121)
Simplify 79⋅(-121).
Cancel the common factor of 7.
Move the leading negative in -121 into the numerator.
w=79⋅-121
Factor 7 out of 21.
w=79⋅-17(3)
Cancel the common factor.
w=79⋅-17⋅3
Rewrite the expression.
w=19⋅-13
w=19⋅-13
Multiply 19 and -13.
w=-19⋅3
Simplify the expression.
Multiply 9 by 3.
w=-127
Move the negative in front of the fraction.
w=-127
w=-127
w=-127
w=-127
The result can be shown in multiple forms.
Exact Form:
w=-127
Decimal Form:
w=-0.037‾
Solve for w 7/(9w)=-21