z^2-2z-48=(z-8)(z+12)

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Solution for z^2-2z-48=(z-8)(z+12) equation: 


Simplifying
z2 + -2z + -48 = (z + -8)(z + 12)

Reorder the terms:
-48 + -2z + z2 = (z + -8)(z + 12)

Reorder the terms:
-48 + -2z + z2 = (-8 + z)(z + 12)

Reorder the terms:
-48 + -2z + z2 = (-8 + z)(12 + z)

Multiply (-8 + z) * (12 + z)
-48 + -2z + z2 = (-8(12 + z) + z(12 + z))
-48 + -2z + z2 = ((12 * -8 + z * -8) + z(12 + z))
-48 + -2z + z2 = ((-96 + -8z) + z(12 + z))
-48 + -2z + z2 = (-96 + -8z + (12 * z + z * z))
-48 + -2z + z2 = (-96 + -8z + (12z + z2))

Combine like terms: -8z + 12z = 4z
-48 + -2z + z2 = (-96 + 4z + z2)

Add '-1z2' to each side of the equation.
-48 + -2z + z2 + -1z2 = -96 + 4z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-48 + -2z + 0 = -96 + 4z + z2 + -1z2
-48 + -2z = -96 + 4z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-48 + -2z = -96 + 4z + 0
-48 + -2z = -96 + 4z

Solving
-48 + -2z = -96 + 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 = -96 + 4z + -4z

Combine like terms: -2z + -4z = -6z
-48 + -6z = -96 + 4z + -4z

Combine like terms: 4z + -4z = 0
-48 + -6z = -96 + 0
-48 + -6z = -96

Add '48' to each side of the equation.
-48 + 48 + -6z = -96 + 48

Combine like terms: -48 + 48 = 0
0 + -6z = -96 + 48
-6z = -96 + 48

Combine like terms: -96 + 48 = -48
-6z = -48

Divide each side by '-6'.
z = 8

Simplifying
z = 8

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