5w2-180=0

Add 180 to both sides of the equation.

5w2=180

Divide each term in 5w2=180 by 5.

5w25=1805

Cancel the common factor of 5.

Cancel the common factor.

5w25=1805

Divide w2 by 1.

w2=1805

w2=1805

Divide 180 by 5.

w2=36

w2=36

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

w=±36

Simplify the right side of the equation.

Rewrite 36 as 62.

w=±62

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

w=±6

w=±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.

w=6

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

w=-6

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

w=6,-6

w=6,-6

w=6,-6

Solve using the Square Root Property 5w^2-180=0