Solve z-5=z^2-25 - ScanMath

Evaluate

z - 5 = z^{2} - 25

Swap the sides

z^{2} - 25 = z - 5

Move the expression to the left side

z^{2} - 20 - z = 0

Factor the expression

More Steps

(z - 5) (z + 4) = 0

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

z - 5 = 0 z + 4 = 0

Solve the equation for z

More Steps

z = 5 z + 4 = 0

Solve the equation for z

More Steps

z = 5 z = - 4

Solution

z_{1} = - 4, z_{2} = 5

Solve the quadratic equation