8z^2+cz+35=(4z+7)(2z+5)

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Solution for 8z^2+cz+35=(4z+7)(2z+5) equation:


Simplifying
8z2 + cz + 35 = (4z + 7)(2z + 5)

Reorder the terms:
35 + cz + 8z2 = (4z + 7)(2z + 5)

Reorder the terms:
35 + cz + 8z2 = (7 + 4z)(2z + 5)

Reorder the terms:
35 + cz + 8z2 = (7 + 4z)(5 + 2z)

Multiply (7 + 4z) * (5 + 2z)
35 + cz + 8z2 = (7(5 + 2z) + 4z * (5 + 2z))
35 + cz + 8z2 = ((5 * 7 + 2z * 7) + 4z * (5 + 2z))
35 + cz + 8z2 = ((35 + 14z) + 4z * (5 + 2z))
35 + cz + 8z2 = (35 + 14z + (5 * 4z + 2z * 4z))
35 + cz + 8z2 = (35 + 14z + (20z + 8z2))

Combine like terms: 14z + 20z = 34z
35 + cz + 8z2 = (35 + 34z + 8z2)

Add '-35' to each side of the equation.
35 + cz + -35 + 8z2 = 35 + 34z + -35 + 8z2

Reorder the terms:
35 + -35 + cz + 8z2 = 35 + 34z + -35 + 8z2

Combine like terms: 35 + -35 = 0
0 + cz + 8z2 = 35 + 34z + -35 + 8z2
cz + 8z2 = 35 + 34z + -35 + 8z2

Reorder the terms:
cz + 8z2 = 35 + -35 + 34z + 8z2

Combine like terms: 35 + -35 = 0
cz + 8z2 = 0 + 34z + 8z2
cz + 8z2 = 34z + 8z2

Add '-8z2' to each side of the equation.
cz + 8z2 + -8z2 = 34z + 8z2 + -8z2

Combine like terms: 8z2 + -8z2 = 0
cz + 0 = 34z + 8z2 + -8z2
cz = 34z + 8z2 + -8z2

Combine like terms: 8z2 + -8z2 = 0
cz = 34z + 0
cz = 34z

Solving
cz = 34z

Solving for variable 'c'.

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

Divide each side by 'z'.
c = 34

Simplifying
c = 34

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