Z^2+6z-8=(2z+1)(z-8)

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Solution for Z^2+6z-8=(2z+1)(z-8) equation: 


Simplifying
Z2 + 6z + -8 = (2z + 1)(z + -8)

Reorder the terms:
-8 + Z2 + 6z = (2z + 1)(z + -8)

Reorder the terms:
-8 + Z2 + 6z = (1 + 2z)(z + -8)

Reorder the terms:
-8 + Z2 + 6z = (1 + 2z)(-8 + z)

Multiply (1 + 2z) * (-8 + z)
-8 + Z2 + 6z = (1(-8 + z) + 2z * (-8 + z))
-8 + Z2 + 6z = ((-8 * 1 + z * 1) + 2z * (-8 + z))
-8 + Z2 + 6z = ((-8 + 1z) + 2z * (-8 + z))
-8 + Z2 + 6z = (-8 + 1z + (-8 * 2z + z * 2z))
-8 + Z2 + 6z = (-8 + 1z + (-16z + 2z2))

Combine like terms: 1z + -16z = -15z
-8 + Z2 + 6z = (-8 + -15z + 2z2)

Add '8' to each side of the equation.
-8 + Z2 + 8 + 6z = -8 + -15z + 8 + 2z2

Reorder the terms:
-8 + 8 + Z2 + 6z = -8 + -15z + 8 + 2z2

Combine like terms: -8 + 8 = 0
0 + Z2 + 6z = -8 + -15z + 8 + 2z2
Z2 + 6z = -8 + -15z + 8 + 2z2

Reorder the terms:
Z2 + 6z = -8 + 8 + -15z + 2z2

Combine like terms: -8 + 8 = 0
Z2 + 6z = 0 + -15z + 2z2
Z2 + 6z = -15z + 2z2

Solving
Z2 + 6z = -15z + 2z2

Solving for variable 'Z'.

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

Add '-6z' to each side of the equation.
Z2 + 6z + -6z = -15z + -6z + 2z2

Combine like terms: 6z + -6z = 0
Z2 + 0 = -15z + -6z + 2z2
Z2 = -15z + -6z + 2z2

Combine like terms: -15z + -6z = -21z
Z2 = -21z + 2z2

Simplifying
Z2 = -21z + 2z2

Reorder the terms:
Z2 + 21z + -2z2 = -21z + 21z + 2z2 + -2z2

Combine like terms: -21z + 21z = 0
Z2 + 21z + -2z2 = 0 + 2z2 + -2z2
Z2 + 21z + -2z2 = 2z2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
Z2 + 21z + -2z2 = 0

The solution to this equation could not be determined.

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