z^2+2z=2(z+2)

Solution for z^2+2z=2(z+2) equation:

Simplifying
z2 + 2z = 2(z + 2)

Reorder the terms:
2z + z2 = 2(z + 2)

Reorder the terms:
2z + z2 = 2(2 + z)
2z + z2 = (2 * 2 + z * 2)
2z + z2 = (4 + 2z)

Add '-2z' to each side of the equation.
2z + -2z + z2 = 4 + 2z + -2z

Combine like terms: 2z + -2z = 0
0 + z2 = 4 + 2z + -2z
z2 = 4 + 2z + -2z

Combine like terms: 2z + -2z = 0
z2 = 4 + 0
z2 = 4

Solving
z2 = 4

Solving for variable 'z'.

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

Simplifying
z2 = 4

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