5(z^2-5)=-5

Solution for 5(z^2-5)=-5 equation:

Simplifying
5(z2 + -5) = -5

Reorder the terms:
5(-5 + z2) = -5
(-5 * 5 + z2 * 5) = -5
(-25 + 5z2) = -5

Solving
-25 + 5z2 = -5

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + 5z2 = -5 + 25

Combine like terms: -25 + 25 = 0
0 + 5z2 = -5 + 25
5z2 = -5 + 25

Combine like terms: -5 + 25 = 20
5z2 = 20

Divide each side by '5'.
z2 = 4

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}