(6z^4+5z^2)(-5z^4+2z^3)=

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Solution for (6z^4+5z^2)(-5z^4+2z^3)= equation: 


Simplifying
(6z4 + 5z2)(-5z4 + 2z3) = 0

Reorder the terms:
(5z2 + 6z4)(-5z4 + 2z3) = 0

Reorder the terms:
(5z2 + 6z4)(2z3 + -5z4) = 0

Multiply (5z2 + 6z4) * (2z3 + -5z4)
(5z2 * (2z3 + -5z4) + 6z4 * (2z3 + -5z4)) = 0
((2z3 * 5z2 + -5z4 * 5z2) + 6z4 * (2z3 + -5z4)) = 0
((10z5 + -25z6) + 6z4 * (2z3 + -5z4)) = 0
(10z5 + -25z6 + (2z3 * 6z4 + -5z4 * 6z4)) = 0
(10z5 + -25z6 + (12z7 + -30z8)) = 0
(10z5 + -25z6 + 12z7 + -30z8) = 0

Solving
10z5 + -25z6 + 12z7 + -30z8 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z5'.
z5(10 + -25z + 12z2 + -30z3) = 0


Subproblem 1
Set the factor 'z5' equal to zero and attempt to solve:

Simplifying
z5 = 0

Solving
z5 = 0

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

Simplifying
z5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(10 + -25z + 12z2 + -30z3)' equal to zero and attempt to solve:

Simplifying
10 + -25z + 12z2 + -30z3 = 0

Solving
10 + -25z + 12z2 + -30z3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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