3x^2+6x^2y-9x^2z=

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Solution for 3x^2+6x^2y-9x^2z= equation:


Simplifying
3x2 + 6x2y + -9x2z = 0

Solving
3x2 + 6x2y + -9x2z = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(1 + 2y + -3z) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(1 + 2y + -3z)' equal to zero and attempt to solve: Simplifying 1 + 2y + -3z = 0 Solving 1 + 2y + -3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2y + -1 + -3z = 0 + -1 Reorder the terms: 1 + -1 + 2y + -3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y + -3z = 0 + -1 2y + -3z = 0 + -1 Combine like terms: 0 + -1 = -1 2y + -3z = -1 Add '-2y' to each side of the equation. 2y + -2y + -3z = -1 + -2y Combine like terms: 2y + -2y = 0 0 + -3z = -1 + -2y -3z = -1 + -2y Add '3z' to each side of the equation. -3z + 3z = -1 + -2y + 3z Combine like terms: -3z + 3z = 0 0 = -1 + -2y + 3z Simplifying 0 = -1 + -2y + 3z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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