z^2-2z-48=(z-8)(z+6)

Solution for z^2-2z-48=(z-8)(z+6) equation:

Simplifying
z2 + -2z + -48 = (z + -8)(z + 6)

Reorder the terms:
-48 + -2z + z2 = (z + -8)(z + 6)

Reorder the terms:
-48 + -2z + z2 = (-8 + z)(z + 6)

Reorder the terms:
-48 + -2z + z2 = (-8 + z)(6 + z)

Multiply (-8 + z) * (6 + z)
-48 + -2z + z2 = (-8(6 + z) + z(6 + z))
-48 + -2z + z2 = ((6 * -8 + z * -8) + z(6 + z))
-48 + -2z + z2 = ((-48 + -8z) + z(6 + z))
-48 + -2z + z2 = (-48 + -8z + (6 * z + z * z))
-48 + -2z + z2 = (-48 + -8z + (6z + z2))

Combine like terms: -8z + 6z = -2z
-48 + -2z + z2 = (-48 + -2z + z2)

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

Reorder the terms:
-48 + 48 + -2z + z2 = -48 + -2z + 48 + z2

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

Reorder the terms:
-2z + z2 = -48 + 48 + -2z + z2

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

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

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

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

Add '-1z2' to each side of the equation.
z2 + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
0 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.