Basic Math Examples

Solve for u (5-u)(5u-7)=0
(5-u)(5u-7)=0
Step 1
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
5-u=0
5u-7=0
Step 2
Set 5-u equal to 0 and solve for u.
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Step 2.1
Set 5-u equal to 0.
5-u=0
Step 2.2
Solve 5-u=0 for u.
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Step 2.2.1
Subtract 5 from both sides of the equation.
-u=-5
Step 2.2.2
Divide each term in -u=-5 by -1 and simplify.
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Step 2.2.2.1
Divide each term in -u=-5 by -1.
-u-1=-5-1
Step 2.2.2.2
Simplify the left side.
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Step 2.2.2.2.1
Dividing two negative values results in a positive value.
u1=-5-1
Step 2.2.2.2.2
Divide u by 1.
u=-5-1
u=-5-1
Step 2.2.2.3
Simplify the right side.
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Step 2.2.2.3.1
Divide -5 by -1.
u=5
u=5
u=5
u=5
u=5
Step 3
Set 5u-7 equal to 0 and solve for u.
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Step 3.1
Set 5u-7 equal to 0.
5u-7=0
Step 3.2
Solve 5u-7=0 for u.
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Step 3.2.1
Add 7 to both sides of the equation.
5u=7
Step 3.2.2
Divide each term in 5u=7 by 5 and simplify.
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Step 3.2.2.1
Divide each term in 5u=7 by 5.
5u5=75
Step 3.2.2.2
Simplify the left side.
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Step 3.2.2.2.1
Cancel the common factor of 5.
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Step 3.2.2.2.1.1
Cancel the common factor.
5u5=75
Step 3.2.2.2.1.2
Divide u by 1.
u=75
u=75
u=75
u=75
u=75
u=75
Step 4
The final solution is all the values that make (5-u)(5u-7)=0 true.
u=5,75
Step 5
The result can be shown in multiple forms.
Exact Form:
u=5,75
Decimal Form:
u=5,1.4
Mixed Number Form:
u=5,125
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