solve(6x^5y^10-5)(-3x^10y^5z-2)=

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Solution for solve(6x^5y^10-5)(-3x^10y^5z-2)= equation:


Simplifying
solve(6x5y10 + -5)(-3x10y5z + -2) = 0

Reorder the terms:
elosv(-5 + 6x5y10)(-3x10y5z + -2) = 0

Reorder the terms:
elosv(-5 + 6x5y10)(-2 + -3x10y5z) = 0

Multiply (-5 + 6x5y10) * (-2 + -3x10y5z)
elosv(-5(-2 + -3x10y5z) + 6x5y10 * (-2 + -3x10y5z)) = 0
elosv((-2 * -5 + -3x10y5z * -5) + 6x5y10 * (-2 + -3x10y5z)) = 0
elosv((10 + 15x10y5z) + 6x5y10 * (-2 + -3x10y5z)) = 0
elosv(10 + 15x10y5z + (-2 * 6x5y10 + -3x10y5z * 6x5y10)) = 0
elosv(10 + 15x10y5z + (-12x5y10 + -18x15y15z)) = 0

Reorder the terms:
elosv(10 + -12x5y10 + 15x10y5z + -18x15y15z) = 0
elosv(10 + -12x5y10 + 15x10y5z + -18x15y15z) = 0
(10 * elosv + -12x5y10 * elosv + 15x10y5z * elosv + -18x15y15z * elosv) = 0
(10elosv + -12elosvx5y10 + 15elosvx10y5z + -18elosvx15y15z) = 0

Solving
10elosv + -12elosvx5y10 + 15elosvx10y5z + -18elosvx15y15z = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'elosv'.
elosv(10 + -12x5y10 + 15x10y5z + -18x15y15z) = 0

Subproblem 1

Set the factor 'elosv' equal to zero and attempt to solve: Simplifying elosv = 0 Solving elosv = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elosv = 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 + -12x5y10 + 15x10y5z + -18x15y15z)' equal to zero and attempt to solve: Simplifying 10 + -12x5y10 + 15x10y5z + -18x15y15z = 0 Solving 10 + -12x5y10 + 15x10y5z + -18x15y15z = 0 Move all terms containing e to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -12x5y10 + 15x10y5z + -10 + -18x15y15z = 0 + -10 Reorder the terms: 10 + -10 + -12x5y10 + 15x10y5z + -18x15y15z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -12x5y10 + 15x10y5z + -18x15y15z = 0 + -10 -12x5y10 + 15x10y5z + -18x15y15z = 0 + -10 Combine like terms: 0 + -10 = -10 -12x5y10 + 15x10y5z + -18x15y15z = -10 Add '12x5y10' to each side of the equation. -12x5y10 + 15x10y5z + 12x5y10 + -18x15y15z = -10 + 12x5y10 Reorder the terms: -12x5y10 + 12x5y10 + 15x10y5z + -18x15y15z = -10 + 12x5y10 Combine like terms: -12x5y10 + 12x5y10 = 0 0 + 15x10y5z + -18x15y15z = -10 + 12x5y10 15x10y5z + -18x15y15z = -10 + 12x5y10 Add '-15x10y5z' to each side of the equation. 15x10y5z + -15x10y5z + -18x15y15z = -10 + 12x5y10 + -15x10y5z Combine like terms: 15x10y5z + -15x10y5z = 0 0 + -18x15y15z = -10 + 12x5y10 + -15x10y5z -18x15y15z = -10 + 12x5y10 + -15x10y5z Add '18x15y15z' to each side of the equation. -18x15y15z + 18x15y15z = -10 + 12x5y10 + -15x10y5z + 18x15y15z Combine like terms: -18x15y15z + 18x15y15z = 0 0 = -10 + 12x5y10 + -15x10y5z + 18x15y15z Simplifying 0 = -10 + 12x5y10 + -15x10y5z + 18x15y15z 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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