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Simplifying 18x2 + 9xz + z2 = 0 Reorder the terms: 9xz + 18x2 + z2 = 0 Solving 9xz + 18x2 + z2 = 0 Solving for variable 'x'. Factor a trinomial. (6x + z)(3x + z) = 0Subproblem 1
Set the factor '(6x + z)' equal to zero and attempt to solve: Simplifying 6x + z = 0 Solving 6x + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 6x + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 6x + 0 = 0 + -1z 6x = 0 + -1z Remove the zero: 6x = -1z Divide each side by '6'. x = -0.1666666667z Simplifying x = -0.1666666667zSubproblem 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 = {-0.1666666667z, -0.3333333333z}
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