2p2+8=58

Subtract 8 from both sides of the equation.

2p2=58-8

Subtract 8 from 58.

2p2=50

2p2=50

Divide each term in 2p2=50 by 2.

2p22=502

Cancel the common factor of 2.

Cancel the common factor.

2p22=502

Divide p2 by 1.

p2=502

p2=502

Divide 50 by 2.

p2=25

p2=25

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

p=±25

Simplify the right side of the equation.

Rewrite 25 as 52.

p=±52

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

p=±5

p=±5

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.

p=5

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

p=-5

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

p=5,-5

p=5,-5

p=5,-5

Solve for p 2p^2+8=58