Whats the answer to 8p squared minus 16 p=10

784 is the answer because 10 squared is 100 multiply that by 8 you have 800 then subtract 16 and you get 784

8p² - 16p = 10

8p² - 16p - 10 = 0 Divide through by 2

4p² - 8p - 5 = 0

Multiply first and last coefficients: 4*-5 = - 20

We look for two numbers that multiply to give - 20, and add to give - 8

Those two numbers are 2 and - 10.

Check: 2*-10 = - 20 2 + - 10 = - 8

We replace the middle term of - 8p in the quadratic expression with 2p - 10p

4p² - 8p - 5 = 0

4p² + 2p - 10p - 5 = 0

2p (2p + 1) - 5 (2p + 1) = 0

(2p + 1) (2p - 5) = 0

2p + 1 = 0 or 2p + 5 = 0

2p = 0 - 1 2p = 0 - 5

2p = - 1 2p = - 5

p = - 1/2 p = - 5/2

The solutions are p = - 1/2 or - 5/2