Solve for a square root of 4a+9=- square root of a+1

Math
4a+9=-a+1
To remove the radical on the left side of the equation, square both sides of the equation.
4a+92=(-a+1)2
Simplify each side of the equation.
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Multiply the exponents in ((4a+9)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(4a+9)12⋅2=(-a+1)2
Cancel the common factor of 2.
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Cancel the common factor.
(4a+9)12⋅2=(-a+1)2
Rewrite the expression.
(4a+9)1=(-a+1)2
(4a+9)1=(-a+1)2
(4a+9)1=(-a+1)2
Simplify.
4a+9=(-a+1)2
Apply the product rule to -a+1.
4a+9=(-1)2a+12
Raise -1 to the power of 2.
4a+9=1a+12
Multiply a+12 by 1.
4a+9=a+12
Rewrite a+12 as a+1.
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Use axn=axn to rewrite a+1 as (a+1)12.
4a+9=((a+1)12)2
Apply the power rule and multiply exponents, (am)n=amn.
4a+9=(a+1)12⋅2
Combine 12 and 2.
4a+9=(a+1)22
Cancel the common factor of 2.
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Cancel the common factor.
4a+9=(a+1)22
Divide 1 by 1.
4a+9=(a+1)1
4a+9=(a+1)1
Simplify.
4a+9=a+1
4a+9=a+1
4a+9=a+1
Solve for a.
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Move all terms containing a to the left side of the equation.
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Subtract a from both sides of the equation.
4a+9-a=1
Subtract a from 4a.
3a+9=1
3a+9=1
Move all terms not containing a to the right side of the equation.
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Subtract 9 from both sides of the equation.
3a=1-9
Subtract 9 from 1.
3a=-8
3a=-8
Divide each term by 3 and simplify.
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Divide each term in 3a=-8 by 3.
3a3=-83
Cancel the common factor of 3.
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Cancel the common factor.
3a3=-83
Divide a by 1.
a=-83
a=-83
Move the negative in front of the fraction.
a=-83
a=-83
a=-83
Exclude the solutions that do not make 4a+9=-a+1 true.
No solution
Solve for a square root of 4a+9=- square root of a+1

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