(2z+5)(4z^2+bz+25)=0

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Solution for (2z+5)(4z^2+bz+25)=0 equation: 


Simplifying
(2z + 5)(4z2 + bz + 25) = 0

Reorder the terms:
(5 + 2z)(4z2 + bz + 25) = 0

Reorder the terms:
(5 + 2z)(25 + bz + 4z2) = 0

Multiply (5 + 2z) * (25 + bz + 4z2)
(5(25 + bz + 4z2) + 2z * (25 + bz + 4z2)) = 0
((25 * 5 + bz * 5 + 4z2 * 5) + 2z * (25 + bz + 4z2)) = 0
((125 + 5bz + 20z2) + 2z * (25 + bz + 4z2)) = 0
(125 + 5bz + 20z2 + (25 * 2z + bz * 2z + 4z2 * 2z)) = 0

Reorder the terms:
(125 + 5bz + 20z2 + (2bz2 + 50z + 8z3)) = 0
(125 + 5bz + 20z2 + (2bz2 + 50z + 8z3)) = 0

Reorder the terms:
(125 + 5bz + 2bz2 + 50z + 20z2 + 8z3) = 0
(125 + 5bz + 2bz2 + 50z + 20z2 + 8z3) = 0

Solving
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0

Solving for variable 'b'.

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

Add '-125' to each side of the equation.
125 + 5bz + 2bz2 + 50z + 20z2 + -125 + 8z3 = 0 + -125

Reorder the terms:
125 + -125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0 + -125
5bz + 2bz2 + 50z + 20z2 + 8z3 = 0 + -125

Combine like terms: 0 + -125 = -125
5bz + 2bz2 + 50z + 20z2 + 8z3 = -125

Add '-50z' to each side of the equation.
5bz + 2bz2 + 50z + 20z2 + -50z + 8z3 = -125 + -50z

Reorder the terms:
5bz + 2bz2 + 50z + -50z + 20z2 + 8z3 = -125 + -50z

Combine like terms: 50z + -50z = 0
5bz + 2bz2 + 0 + 20z2 + 8z3 = -125 + -50z
5bz + 2bz2 + 20z2 + 8z3 = -125 + -50z

Add '-20z2' to each side of the equation.
5bz + 2bz2 + 20z2 + -20z2 + 8z3 = -125 + -50z + -20z2

Combine like terms: 20z2 + -20z2 = 0
5bz + 2bz2 + 0 + 8z3 = -125 + -50z + -20z2
5bz + 2bz2 + 8z3 = -125 + -50z + -20z2

Add '-8z3' to each side of the equation.
5bz + 2bz2 + 8z3 + -8z3 = -125 + -50z + -20z2 + -8z3

Combine like terms: 8z3 + -8z3 = 0
5bz + 2bz2 + 0 = -125 + -50z + -20z2 + -8z3
5bz + 2bz2 = -125 + -50z + -20z2 + -8z3

Reorder the terms:
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = -125 + -50z + -20z2 + -8z3 + 125 + 50z + 20z2 + 8z3

Reorder the terms:
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = -125 + 125 + -50z + 50z + -20z2 + 20z2 + -8z3 + 8z3

Combine like terms: -125 + 125 = 0
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0 + -50z + 50z + -20z2 + 20z2 + -8z3 + 8z3
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = -50z + 50z + -20z2 + 20z2 + -8z3 + 8z3

Combine like terms: -50z + 50z = 0
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0 + -20z2 + 20z2 + -8z3 + 8z3
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = -20z2 + 20z2 + -8z3 + 8z3

Combine like terms: -20z2 + 20z2 = 0
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0 + -8z3 + 8z3
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = -8z3 + 8z3

Combine like terms: -8z3 + 8z3 = 0
125 + 5bz + 2bz2 + 50z + 20z2 + 8z3 = 0

The solution to this equation could not be determined.

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