3z(-5z^2+5)-8(3z-z^3)=

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Solution for 3z(-5z^2+5)-8(3z-z^3)= equation: 


Simplifying
3z(-5z2 + 5) + -8(3z + -1z3) = 0

Reorder the terms:
3z(5 + -5z2) + -8(3z + -1z3) = 0
(5 * 3z + -5z2 * 3z) + -8(3z + -1z3) = 0
(15z + -15z3) + -8(3z + -1z3) = 0
15z + -15z3 + (3z * -8 + -1z3 * -8) = 0
15z + -15z3 + (-24z + 8z3) = 0

Reorder the terms:
15z + -24z + -15z3 + 8z3 = 0

Combine like terms: 15z + -24z = -9z
-9z + -15z3 + 8z3 = 0

Combine like terms: -15z3 + 8z3 = -7z3
-9z + -7z3 = 0

Solving
-9z + -7z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '-1z'.
-1z(9 + 7z2) = 0

Ignore the factor -1.

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 '(9 + 7z2)' equal to zero and attempt to solve:

Simplifying
9 + 7z2 = 0

Solving
9 + 7z2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + 7z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7z2 = 0 + -9
7z2 = 0 + -9

Combine like terms: 0 + -9 = -9
7z2 = -9

Divide each side by '7'.
z2 = -1.285714286

Simplifying
z2 = -1.285714286

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
z = {0}

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