# Solve for u 8+ square root of u+12=4 8+u+12=4
Move all terms not containing u+12 to the right side of the equation.
Subtract 8 from both sides of the equation.
u+12=4-8
Subtract 8 from 4.
u+12=-4
u+12=-4
To remove the radical on the left side of the equation, square both sides of the equation.
u+122=(-4)2
Simplify each side of the equation.
Multiply the exponents in ((u+12)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(u+12)12⋅2=(-4)2
Cancel the common factor of 2.
Cancel the common factor.
(u+12)12⋅2=(-4)2
Rewrite the expression.
(u+12)1=(-4)2
(u+12)1=(-4)2
(u+12)1=(-4)2
Simplify.
u+12=(-4)2
Raise -4 to the power of 2.
u+12=16
u+12=16
Move all terms not containing u to the right side of the equation.
Subtract 12 from both sides of the equation.
u=16-12
Subtract 12 from 16.
u=4
u=4
Exclude the solutions that do not make 8+u+12=4 true.
No solution
Solve for u 8+ square root of u+12=4

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