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.
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
4u=18
4u=18
Divide each term by 4 and simplify.
Divide each term in 4u=18 by 4.
4u4=184
Cancel the common factor of 4.
Cancel the common factor.
4u4=184
Divide u by 1.
u=184
u=184
Cancel the common factor of 18 and 4.
Factor 2 out of 18.
u=2(9)4
Cancel the common factors.
Factor 2 out of 4.
u=2⋅92⋅2
Cancel the common factor.
u=2⋅92⋅2
Rewrite the expression.
u=92
u=92
u=92
u=92
u=92
The result can be shown in multiple forms.
Exact Form:
u=92
Decimal Form:
u=4.5
Mixed Number Form:
u=412
Solve for u 4=6/(u-3)

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