# Solve for a 3 = square root of 21-2a

3=21-2a
Rewrite the equation as 21-2a=3.
21-2a=3
To remove the radical on the left side of the equation, square both sides of the equation.
21-2a2=32
Simplify each side of the equation.
Multiply the exponents in ((21-2a)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(21-2a)12⋅2=32
Cancel the common factor of 2.
Cancel the common factor.
(21-2a)12⋅2=32
Rewrite the expression.
(21-2a)1=32
(21-2a)1=32
(21-2a)1=32
Simplify.
21-2a=32
Raise 3 to the power of 2.
21-2a=9
21-2a=9
Solve for a.
Move all terms not containing a to the right side of the equation.
Subtract 21 from both sides of the equation.
-2a=9-21
Subtract 21 from 9.
-2a=-12
-2a=-12
Divide each term by -2 and simplify.
Divide each term in -2a=-12 by -2.
-2a-2=-12-2
Cancel the common factor of -2.
Cancel the common factor.
-2a-2=-12-2
Divide a by 1.
a=-12-2
a=-12-2
Divide -12 by -2.
a=6
a=6
a=6
Solve for a 3 = square root of 21-2a

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