# Solve Using the Square Root Property 6x^2-14=40

6×2-14=40
Move all terms not containing x to the right side of the equation.
Add 14 to both sides of the equation.
6×2=40+14
6×2=54
6×2=54
Divide each term by 6 and simplify.
Divide each term in 6×2=54 by 6.
6×26=546
Cancel the common factor of 6.
Cancel the common factor.
6×26=546
Divide x2 by 1.
x2=546
x2=546
Divide 54 by 6.
x2=9
x2=9
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±9
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 9 as 32.
x=±32
Pull terms out from under the radical, assuming positive real numbers.
x=±3
x=±3
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=3
Next, use the negative value of the ± to find the second solution.
x=-3
The complete solution is the result of both the positive and negative portions of the solution.
x=3,-3
x=3,-3
x=3,-3
Solve Using the Square Root Property 6x^2-14=40