=(5z^2+3z+2)(z^2-5z-5)

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Solution for =(5z^2+3z+2)(z^2-5z-5) equation: 


Simplifying
0 = (5z2 + 3z + 2)(z2 + -5z + -5)

Reorder the terms:
0 = (2 + 3z + 5z2)(z2 + -5z + -5)

Reorder the terms:
0 = (2 + 3z + 5z2)(-5 + -5z + z2)

Multiply (2 + 3z + 5z2) * (-5 + -5z + z2)
0 = (2(-5 + -5z + z2) + 3z * (-5 + -5z + z2) + 5z2 * (-5 + -5z + z2))
0 = ((-5 * 2 + -5z * 2 + z2 * 2) + 3z * (-5 + -5z + z2) + 5z2 * (-5 + -5z + z2))
0 = ((-10 + -10z + 2z2) + 3z * (-5 + -5z + z2) + 5z2 * (-5 + -5z + z2))
0 = (-10 + -10z + 2z2 + (-5 * 3z + -5z * 3z + z2 * 3z) + 5z2 * (-5 + -5z + z2))
0 = (-10 + -10z + 2z2 + (-15z + -15z2 + 3z3) + 5z2 * (-5 + -5z + z2))
0 = (-10 + -10z + 2z2 + -15z + -15z2 + 3z3 + (-5 * 5z2 + -5z * 5z2 + z2 * 5z2))
0 = (-10 + -10z + 2z2 + -15z + -15z2 + 3z3 + (-25z2 + -25z3 + 5z4))

Reorder the terms:
0 = (-10 + -10z + -15z + 2z2 + -15z2 + -25z2 + 3z3 + -25z3 + 5z4)

Combine like terms: -10z + -15z = -25z
0 = (-10 + -25z + 2z2 + -15z2 + -25z2 + 3z3 + -25z3 + 5z4)

Combine like terms: 2z2 + -15z2 = -13z2
0 = (-10 + -25z + -13z2 + -25z2 + 3z3 + -25z3 + 5z4)

Combine like terms: -13z2 + -25z2 = -38z2
0 = (-10 + -25z + -38z2 + 3z3 + -25z3 + 5z4)

Combine like terms: 3z3 + -25z3 = -22z3
0 = (-10 + -25z + -38z2 + -22z3 + 5z4)

Solving
0 = -10 + -25z + -38z2 + -22z3 + 5z4

Solving for variable 'z'.

Combine like terms: 0 + 10 = 10
10 + 25z + 38z2 + 22z3 + -5z4 = -10 + -25z + -38z2 + -22z3 + 5z4 + 10 + 25z + 38z2 + 22z3 + -5z4

Reorder the terms:
10 + 25z + 38z2 + 22z3 + -5z4 = -10 + 10 + -25z + 25z + -38z2 + 38z2 + -22z3 + 22z3 + 5z4 + -5z4

Combine like terms: -10 + 10 = 0
10 + 25z + 38z2 + 22z3 + -5z4 = 0 + -25z + 25z + -38z2 + 38z2 + -22z3 + 22z3 + 5z4 + -5z4
10 + 25z + 38z2 + 22z3 + -5z4 = -25z + 25z + -38z2 + 38z2 + -22z3 + 22z3 + 5z4 + -5z4

Combine like terms: -25z + 25z = 0
10 + 25z + 38z2 + 22z3 + -5z4 = 0 + -38z2 + 38z2 + -22z3 + 22z3 + 5z4 + -5z4
10 + 25z + 38z2 + 22z3 + -5z4 = -38z2 + 38z2 + -22z3 + 22z3 + 5z4 + -5z4

Combine like terms: -38z2 + 38z2 = 0
10 + 25z + 38z2 + 22z3 + -5z4 = 0 + -22z3 + 22z3 + 5z4 + -5z4
10 + 25z + 38z2 + 22z3 + -5z4 = -22z3 + 22z3 + 5z4 + -5z4

Combine like terms: -22z3 + 22z3 = 0
10 + 25z + 38z2 + 22z3 + -5z4 = 0 + 5z4 + -5z4
10 + 25z + 38z2 + 22z3 + -5z4 = 5z4 + -5z4

Combine like terms: 5z4 + -5z4 = 0
10 + 25z + 38z2 + 22z3 + -5z4 = 0

The solution to this equation could not be determined.

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