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Simplifying z2 + 6zx + 9x2 = 0 Reorder the terms: 6xz + 9x2 + z2 = 0 Solving 6xz + 9x2 + z2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + z)(3x + z) = 0Subproblem 1
Set the factor '(3x + z)' equal to zero and attempt to solve: Simplifying 3x + z = 0 Solving 3x + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 3x + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 3x + 0 = 0 + -1z 3x = 0 + -1z Remove the zero: 3x = -1z Divide each side by '3'. x = -0.3333333333z Simplifying x = -0.3333333333zSubproblem 2
Set the factor '(3x + z)' equal to zero and attempt to solve: Simplifying 3x + z = 0 Solving 3x + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 3x + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 3x + 0 = 0 + -1z 3x = 0 + -1z Remove the zero: 3x = -1z Divide each side by '3'. x = -0.3333333333z Simplifying x = -0.3333333333zSolution
x = {-0.3333333333z, -0.3333333333z}
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