Solve for a square root of 4a-7=7

Math
4a-7=7
To remove the radical on the left side of the equation, square both sides of the equation.
4a-72=72
Simplify each side of the equation.
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Multiply the exponents in ((4a-7)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(4a-7)12⋅2=72
Cancel the common factor of 2.
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Cancel the common factor.
(4a-7)12⋅2=72
Rewrite the expression.
(4a-7)1=72
(4a-7)1=72
(4a-7)1=72
Simplify.
4a-7=72
Raise 7 to the power of 2.
4a-7=49
4a-7=49
Solve for a.
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Move all terms not containing a to the right side of the equation.
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Add 7 to both sides of the equation.
4a=49+7
Add 49 and 7.
4a=56
4a=56
Divide each term by 4 and simplify.
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Divide each term in 4a=56 by 4.
4a4=564
Cancel the common factor of 4.
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Cancel the common factor.
4a4=564
Divide a by 1.
a=564
a=564
Divide 56 by 4.
a=14
a=14
a=14
Solve for a square root of 4a-7=7

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