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Simplifying x8 + 12x4y2z + 36y4z2 = 0 Reorder the terms: 12x4y2z + x8 + 36y4z2 = 0 Solving 12x4y2z + x8 + 36y4z2 = 0 Solving for variable 'x'. Factor a trinomial. (x4 + 6y2z)(x4 + 6y2z) = 0Subproblem 1
Set the factor '(x4 + 6y2z)' equal to zero and attempt to solve: Simplifying x4 + 6y2z = 0 Solving x4 + 6y2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y2z' to each side of the equation. x4 + 6y2z + -6y2z = 0 + -6y2z Combine like terms: 6y2z + -6y2z = 0 x4 + 0 = 0 + -6y2z x4 = 0 + -6y2z Remove the zero: x4 = -6y2z Simplifying x4 = -6y2z 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 '(x4 + 6y2z)' equal to zero and attempt to solve: Simplifying x4 + 6y2z = 0 Solving x4 + 6y2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y2z' to each side of the equation. x4 + 6y2z + -6y2z = 0 + -6y2z Combine like terms: 6y2z + -6y2z = 0 x4 + 0 = 0 + -6y2z x4 = 0 + -6y2z Remove the zero: x4 = -6y2z Simplifying x4 = -6y2z 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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