8z^2+14z=5-5

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Solution for 8z^2+14z=5-5 equation: 


Simplifying
8z2 + 14z = 5 + -5

Reorder the terms:
14z + 8z2 = 5 + -5

Combine like terms: 5 + -5 = 0
14z + 8z2 = 0

Solving
14z + 8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(7 + 4z) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(7 + 4z)' equal to zero and attempt to solve:

Simplifying
7 + 4z = 0

Solving
7 + 4z = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4z = 0 + -7
4z = 0 + -7

Combine like terms: 0 + -7 = -7
4z = -7

Divide each side by '4'.
z = -1.75

Simplifying
z = -1.75
Solution
z = {0, -1.75}

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