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Write an equation with the variable on each side of the equals sign, at least one fractional coefficient, and a solution of -6. Discuss the steps you used.

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Final answer:

An equation that meets the given criteria is x² + (1.2x)/(10-2x) - (6.0 × 10-³) = 0. This equation can be solved using the quadratic formula.

Step-by-step explanation:

An equation that meets the given criteria is:

x² + (1.2x)/(10-2x) - (6.0 × 10-³) = 0

To solve this equation, we can use the quadratic formula. For an equation of the form ax²+ bx + c = 0, the quadratic formula states that the solutions are given by:

x = (-b ± √(b² - 4ac))/(2a)

By substituting the values of a, b, and c from our equation, we can calculate the solutions for x.

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