z^2-2z-48=(z-8)(z+4)

Solution for z^2-2z-48=(z-8)(z+4) equation:

Simplifying
z2 + -2z + -48 = (z + -8)(z + 4)

Reorder the terms:
-48 + -2z + z2 = (z + -8)(z + 4)

Reorder the terms:
-48 + -2z + z2 = (-8 + z)(z + 4)

Reorder the terms:
-48 + -2z + z2 = (-8 + z)(4 + z)

Multiply (-8 + z) * (4 + z)
-48 + -2z + z2 = (-8(4 + z) + z(4 + z))
-48 + -2z + z2 = ((4 * -8 + z * -8) + z(4 + z))
-48 + -2z + z2 = ((-32 + -8z) + z(4 + z))
-48 + -2z + z2 = (-32 + -8z + (4 * z + z * z))
-48 + -2z + z2 = (-32 + -8z + (4z + z2))

Combine like terms: -8z + 4z = -4z
-48 + -2z + z2 = (-32 + -4z + z2)

Add '-1z2' to each side of the equation.
-48 + -2z + z2 + -1z2 = -32 + -4z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-48 + -2z + 0 = -32 + -4z + z2 + -1z2
-48 + -2z = -32 + -4z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-48 + -2z = -32 + -4z + 0
-48 + -2z = -32 + -4z

Solving
-48 + -2z = -32 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-48 + -2z + 4z = -32 + -4z + 4z

Combine like terms: -2z + 4z = 2z
-48 + 2z = -32 + -4z + 4z

Combine like terms: -4z + 4z = 0
-48 + 2z = -32 + 0
-48 + 2z = -32

Add '48' to each side of the equation.
-48 + 48 + 2z = -32 + 48

Combine like terms: -48 + 48 = 0
0 + 2z = -32 + 48
2z = -32 + 48

Combine like terms: -32 + 48 = 16
2z = 16

Divide each side by '2'.
z = 8

Simplifying
z = 8