# Solve Using the Square Root Property 24=x*2/3*x 24=x⋅23⋅x
Rewrite the equation as x⋅23⋅x=24.
x⋅23⋅x=24
Simplify.
Combine x and 23.
x⋅23⋅x=24
Combine x⋅23 and x.
x⋅2×3=24
Raise x to the power of 1.
2(x1x)3=24
Raise x to the power of 1.
2(x1x1)3=24
Use the power rule aman=am+n to combine exponents.
2×1+13=24
2×23=24
2×23=24
Multiply each term by 32 and simplify.
Multiply each term in 2×23=24 by 32.
2×23⋅32=24⋅32
Simplify 2×23⋅32.
Cancel the common factor of 2.
Factor 2 out of 2×2.
2(x2)3⋅32=24⋅32
Cancel the common factor.
2×23⋅32=24⋅32
Rewrite the expression.
x23⋅3=24⋅32
x23⋅3=24⋅32
Cancel the common factor of 3.
Cancel the common factor.
x23⋅3=24⋅32
Rewrite the expression.
x2=24⋅32
x2=24⋅32
x2=24⋅32
Simplify 24⋅32.
Cancel the common factor of 2.
Factor 2 out of 24.
x2=2(12)⋅32
Cancel the common factor.
x2=2⋅12⋅32
Rewrite the expression.
x2=12⋅3
x2=12⋅3
Multiply 12 by 3.
x2=36
x2=36
x2=36
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±36
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 36 as 62.
x=±62
Pull terms out from under the radical, assuming positive real numbers.
x=±6
x=±6
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
x=6
Next, use the negative value of the ± to find the second solution.
x=-6
The complete solution is the result of both the positive and negative portions of the solution.
x=6,-6
x=6,-6
x=6,-6
Solve Using the Square Root Property 24=x*2/3*x     