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Simplifying z2 + 5zx + -6x2 = 0 Reorder the terms: 5xz + -6x2 + z2 = 0 Solving 5xz + -6x2 + z2 = 0 Solving for variable 'x'. Factor a trinomial. (-6x + -1z)(x + -1z) = 0Subproblem 1
Set the factor '(-6x + -1z)' equal to zero and attempt to solve: Simplifying -6x + -1z = 0 Solving -6x + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add 'z' to each side of the equation. -6x + -1z + z = 0 + z Combine like terms: -1z + z = 0 -6x + 0 = 0 + z -6x = 0 + z Remove the zero: -6x = z Divide each side by '-6'. x = -0.1666666667z Simplifying x = -0.1666666667zSubproblem 2
Set the factor '(x + -1z)' equal to zero and attempt to solve: Simplifying x + -1z = 0 Solving x + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add 'z' to each side of the equation. x + -1z + z = 0 + z Combine like terms: -1z + z = 0 x + 0 = 0 + z x = 0 + z Remove the zero: x = z Simplifying x = zSolution
x = {-0.1666666667z, z}
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