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

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


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

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

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

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

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

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

Add '-1z2' to each side of the equation.
-48 + -2z + z2 + -1z2 = -8x + xz + -8z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-48 + -2z + 0 = -8x + xz + -8z + z2 + -1z2
-48 + -2z = -8x + xz + -8z + z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-48 + -2z = -8x + xz + -8z + 0
-48 + -2z = -8x + xz + -8z

Solving
-48 + -2z = -8x + xz + -8z

Solving for variable 'z'.

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

Add '-1xz' to each side of the equation.
-48 + -1xz + -2z = -8x + xz + -1xz + -8z

Combine like terms: xz + -1xz = 0
-48 + -1xz + -2z = -8x + 0 + -8z
-48 + -1xz + -2z = -8x + -8z

Add '8z' to each side of the equation.
-48 + -1xz + -2z + 8z = -8x + -8z + 8z

Combine like terms: -2z + 8z = 6z
-48 + -1xz + 6z = -8x + -8z + 8z

Combine like terms: -8z + 8z = 0
-48 + -1xz + 6z = -8x + 0
-48 + -1xz + 6z = -8x

Add '48' to each side of the equation.
-48 + -1xz + 48 + 6z = 48 + -8x

Reorder the terms:
-48 + 48 + -1xz + 6z = 48 + -8x

Combine like terms: -48 + 48 = 0
0 + -1xz + 6z = 48 + -8x
-1xz + 6z = 48 + -8x

Reorder the terms:
-48 + 8x + -1xz + 6z = 48 + -8x + -48 + 8x

Reorder the terms:
-48 + 8x + -1xz + 6z = 48 + -48 + -8x + 8x

Combine like terms: 48 + -48 = 0
-48 + 8x + -1xz + 6z = 0 + -8x + 8x
-48 + 8x + -1xz + 6z = -8x + 8x

Combine like terms: -8x + 8x = 0
-48 + 8x + -1xz + 6z = 0

The solution to this equation could not be determined.

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