Solve p^2 - p = 2

Evaluate

p^{2} - p = 2

Move the expression to the left side

p^{2} - p - 2 = 0

Factor the expression

More Steps

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

When the product of factors equals 0,at least one factor is 0

p - 2 = 0 p + 1 = 0

Solve the equation for p

More Steps

p = 2 p + 1 = 0

Solve the equation for p

More Steps

p = 2 p = - 1

Solution

p_{1} = - 1, p_{2} = 2

Solve the quadratic equation