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