(-6x^5+y^3z^6)(6x^5-y^3z^6)=

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Solution for (-6x^5+y^3z^6)(6x^5-y^3z^6)= equation:


Simplifying
(-6x5 + y3z6)(6x5 + -1y3z6) = 0

Multiply (-6x5 + y3z6) * (6x5 + -1y3z6)
(-6x5 * (6x5 + -1y3z6) + y3z6(6x5 + -1y3z6)) = 0
((6x5 * -6x5 + -1y3z6 * -6x5) + y3z6(6x5 + -1y3z6)) = 0

Reorder the terms:
((6x5y3z6 + -36x10) + y3z6(6x5 + -1y3z6)) = 0
((6x5y3z6 + -36x10) + y3z6(6x5 + -1y3z6)) = 0
(6x5y3z6 + -36x10 + (6x5 * y3z6 + -1y3z6 * y3z6)) = 0
(6x5y3z6 + -36x10 + (6x5y3z6 + -1y6z12)) = 0

Reorder the terms:
(6x5y3z6 + 6x5y3z6 + -36x10 + -1y6z12) = 0

Combine like terms: 6x5y3z6 + 6x5y3z6 = 12x5y3z6
(12x5y3z6 + -36x10 + -1y6z12) = 0

Solving
12x5y3z6 + -36x10 + -1y6z12 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6x5 + y3z6)(6x5 + -1y3z6) = 0

Subproblem 1

Set the factor '(-6x5 + y3z6)' equal to zero and attempt to solve: Simplifying -6x5 + y3z6 = 0 Solving -6x5 + y3z6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3z6' to each side of the equation. -6x5 + y3z6 + -1y3z6 = 0 + -1y3z6 Combine like terms: y3z6 + -1y3z6 = 0 -6x5 + 0 = 0 + -1y3z6 -6x5 = 0 + -1y3z6 Remove the zero: -6x5 = -1y3z6 Divide each side by '-6'. x5 = 0.1666666667y3z6 Simplifying x5 = 0.1666666667y3z6 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 '(6x5 + -1y3z6)' equal to zero and attempt to solve: Simplifying 6x5 + -1y3z6 = 0 Solving 6x5 + -1y3z6 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y3z6' to each side of the equation. 6x5 + -1y3z6 + y3z6 = 0 + y3z6 Combine like terms: -1y3z6 + y3z6 = 0 6x5 + 0 = 0 + y3z6 6x5 = 0 + y3z6 Remove the zero: 6x5 = y3z6 Divide each side by '6'. x5 = 0.1666666667y3z6 Simplifying x5 = 0.1666666667y3z6 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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