18=2t2

Rewrite the equation as 2t2=18.

2t2=18

Divide each term in 2t2=18 by 2.

2t22=182

Cancel the common factor of 2.

Cancel the common factor.

2t22=182

Divide t2 by 1.

t2=182

t2=182

Divide 18 by 2.

t2=9

t2=9

Take the square root of both sides of the equation to eliminate the exponent on the left side.

t=±9

Simplify the right side of the equation.

Rewrite 9 as 32.

t=±32

Pull terms out from under the radical, assuming positive real numbers.

t=±3

t=±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.

t=3

Next, use the negative value of the ± to find the second solution.

t=-3

The complete solution is the result of both the positive and negative portions of the solution.

t=3,-3

t=3,-3

t=3,-3

Solve for t 18=2t^2