# Solve for u 4=-6/(u-3) 4=-6u-3
Rewrite the equation as -6u-3=4.
-6u-3=4
Solve for u.
Multiply each term by u-3 and simplify.
Multiply each term in -6u-3=4 by u-3.
(-6u-3)⋅(u-3)=4⋅(u-3)
Cancel the common factor of u-3.
Move the leading negative in -6u-3 into the numerator.
-6u-3⋅(u-3)=4⋅(u-3)
Cancel the common factor.
-6u-3⋅(u-3)=4⋅(u-3)
Rewrite the expression.
-6=4⋅(u-3)
-6=4⋅(u-3)
Simplify 4⋅(u-3).
Apply the distributive property.
-6=4u+4⋅-3
Multiply 4 by -3.
-6=4u-12
-6=4u-12
-6=4u-12
Rewrite the equation as 4u-12=-6.
4u-12=-6
Move all terms not containing u to the right side of the equation.
Add 12 to both sides of the equation.
4u=-6+12
Add -6 and 12.
4u=6
4u=6
Divide each term by 4 and simplify.
Divide each term in 4u=6 by 4.
4u4=64
Cancel the common factor of 4.
Cancel the common factor.
4u4=64
Divide u by 1.
u=64
u=64
Cancel the common factor of 6 and 4.
Factor 2 out of 6.
u=2(3)4
Cancel the common factors.
Factor 2 out of 4.
u=2⋅32⋅2
Cancel the common factor.
u=2⋅32⋅2
Rewrite the expression.
u=32
u=32
u=32
u=32
u=32
The result can be shown in multiple forms.
Exact Form:
u=32
Decimal Form:
u=1.5
Mixed Number Form:
u=112
Solve for u 4=-6/(u-3)

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