Z^2+9z-40=(2z+5)(z-8)

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Solution for Z^2+9z-40=(2z+5)(z-8) equation: 


Simplifying
Z2 + 9z + -40 = (2z + 5)(z + -8)

Reorder the terms:
-40 + Z2 + 9z = (2z + 5)(z + -8)

Reorder the terms:
-40 + Z2 + 9z = (5 + 2z)(z + -8)

Reorder the terms:
-40 + Z2 + 9z = (5 + 2z)(-8 + z)

Multiply (5 + 2z) * (-8 + z)
-40 + Z2 + 9z = (5(-8 + z) + 2z * (-8 + z))
-40 + Z2 + 9z = ((-8 * 5 + z * 5) + 2z * (-8 + z))
-40 + Z2 + 9z = ((-40 + 5z) + 2z * (-8 + z))
-40 + Z2 + 9z = (-40 + 5z + (-8 * 2z + z * 2z))
-40 + Z2 + 9z = (-40 + 5z + (-16z + 2z2))

Combine like terms: 5z + -16z = -11z
-40 + Z2 + 9z = (-40 + -11z + 2z2)

Add '40' to each side of the equation.
-40 + Z2 + 40 + 9z = -40 + -11z + 40 + 2z2

Reorder the terms:
-40 + 40 + Z2 + 9z = -40 + -11z + 40 + 2z2

Combine like terms: -40 + 40 = 0
0 + Z2 + 9z = -40 + -11z + 40 + 2z2
Z2 + 9z = -40 + -11z + 40 + 2z2

Reorder the terms:
Z2 + 9z = -40 + 40 + -11z + 2z2

Combine like terms: -40 + 40 = 0
Z2 + 9z = 0 + -11z + 2z2
Z2 + 9z = -11z + 2z2

Solving
Z2 + 9z = -11z + 2z2

Solving for variable 'Z'.

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

Add '-9z' to each side of the equation.
Z2 + 9z + -9z = -11z + -9z + 2z2

Combine like terms: 9z + -9z = 0
Z2 + 0 = -11z + -9z + 2z2
Z2 = -11z + -9z + 2z2

Combine like terms: -11z + -9z = -20z
Z2 = -20z + 2z2

Simplifying
Z2 = -20z + 2z2

Reorder the terms:
Z2 + 20z + -2z2 = -20z + 20z + 2z2 + -2z2

Combine like terms: -20z + 20z = 0
Z2 + 20z + -2z2 = 0 + 2z2 + -2z2
Z2 + 20z + -2z2 = 2z2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
Z2 + 20z + -2z2 = 0

The solution to this equation could not be determined.

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