3x^2+6xy-15xz=0

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Solution for 3x^2+6xy-15xz=0 equation: 


Simplifying
3x2 + 6xy + -15xz = 0

Reorder the terms:
6xy + -15xz + 3x2 = 0

Solving
6xy + -15xz + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2y + -5z + x) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(2y + -5z + x)' equal to zero and attempt to solve:

Simplifying
2y + -5z + x = 0

Reorder the terms:
x + 2y + -5z = 0

Solving
x + 2y + -5z = 0

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

Add '-2y' to each side of the equation.
x + 2y + -2y + -5z = 0 + -2y

Combine like terms: 2y + -2y = 0
x + 0 + -5z = 0 + -2y
x + -5z = 0 + -2y
Remove the zero:
x + -5z = -2y

Add '5z' to each side of the equation.
x + -5z + 5z = -2y + 5z

Combine like terms: -5z + 5z = 0
x + 0 = -2y + 5z
x = -2y + 5z

Simplifying
x = -2y + 5z
Solution
x = {0, -2y + 5z}

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