24x^3*y^2z+42x^4y*5z^3=0

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Solution for 24x^3*y^2z+42x^4y*5z^3=0 equation: 


Simplifying
24x3 * y2z + 42x4y * 5z3 = 0

Multiply x3 * y2z
24x3y2z + 42x4y * 5z3 = 0

Reorder the terms for easier multiplication:
24x3y2z + 42 * 5x4y * z3 = 0

Multiply 42 * 5
24x3y2z + 210x4y * z3 = 0

Multiply x4y * z3
24x3y2z + 210x4yz3 = 0

Solving
24x3y2z + 210x4yz3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x3yz'.
6x3yz(4y + 35xz2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x3yz' equal to zero and attempt to solve:

Simplifying
x3yz = 0

Solving
x3yz = 0

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

Simplifying
x3yz = 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 '(4y + 35xz2)' equal to zero and attempt to solve:

Simplifying
4y + 35xz2 = 0

Reorder the terms:
35xz2 + 4y = 0

Solving
35xz2 + 4y = 0

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

Add '-4y' to each side of the equation.
35xz2 + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
35xz2 + 0 = 0 + -4y
35xz2 = 0 + -4y
Remove the zero:
35xz2 = -4y

Divide each side by '35z2'.
x = -0.1142857143yz-2

Simplifying
x = -0.1142857143yz-2
Solution
x = {-0.1142857143yz-2}

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