15x^3y^4z^2+45xy^5z^4=0

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Solution for 15x^3y^4z^2+45xy^5z^4=0 equation:


Simplifying
15x3y4z2 + 45xy5z4 = 0

Reorder the terms:
45xy5z4 + 15x3y4z2 = 0

Solving
45xy5z4 + 15x3y4z2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15xy4z2'.
15xy4z2(3yz2 + x2) = 0

Ignore the factor 15.

Subproblem 1

Set the factor 'xy4z2' equal to zero and attempt to solve: Simplifying xy4z2 = 0 Solving xy4z2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy4z2 = 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 '(3yz2 + x2)' equal to zero and attempt to solve: Simplifying 3yz2 + x2 = 0 Reorder the terms: x2 + 3yz2 = 0 Solving x2 + 3yz2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3yz2' to each side of the equation. x2 + 3yz2 + -3yz2 = 0 + -3yz2 Combine like terms: 3yz2 + -3yz2 = 0 x2 + 0 = 0 + -3yz2 x2 = 0 + -3yz2 Remove the zero: x2 = -3yz2 Simplifying x2 = -3yz2 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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