# Solve for u -4/5-1/2u=-1/3

-45-12u=-13
Combine u and 12.
-45-u2=-13
Move all terms not containing u to the right side of the equation.
Add 45 to both sides of the equation.
-u2=-13+45
To write -13 as a fraction with a common denominator, multiply by 55.
-u2=-13⋅55+45
To write 45 as a fraction with a common denominator, multiply by 33.
-u2=-13⋅55+45⋅33
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 13 and 55.
-u2=-53⋅5+45⋅33
Multiply 3 by 5.
-u2=-515+45⋅33
Multiply 45 and 33.
-u2=-515+4⋅35⋅3
Multiply 5 by 3.
-u2=-515+4⋅315
-u2=-515+4⋅315
Combine the numerators over the common denominator.
-u2=-5+4⋅315
Simplify the numerator.
Multiply 4 by 3.
-u2=-5+1215
-u2=715
-u2=715
-u2=715
Multiply both sides of the equation by -2.
-2⋅(-u2)=-2⋅715
Simplify both sides of the equation.
Simplify -2⋅(-u2).
Cancel the common factor of 2.
Move the leading negative in -u2 into the numerator.
-2⋅-u2=-2⋅715
Factor 2 out of -2.
2(-1)⋅-u2=-2⋅715
Cancel the common factor.
2⋅-1⋅-u2=-2⋅715
Rewrite the expression.
-1⋅(-u)=-2⋅715
-1⋅(-u)=-2⋅715
Multiply.
Multiply -1 by -1.
1⋅u=-2⋅715
Multiply u by 1.
u=-2⋅715
u=-2⋅715
u=-2⋅715
Simplify -2⋅715.
Multiply -2(715).
Combine -2 and 715.
u=-2⋅715
Multiply -2 by 7.
u=-1415
u=-1415
Move the negative in front of the fraction.
u=-1415
u=-1415
u=-1415
The result can be shown in multiple forms.
Exact Form:
u=-1415
Decimal Form:
u=-0.93‾
Solve for u -4/5-1/2u=-1/3

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