How to solve for distance of object with a concave mirror?

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SUMMARY

The discussion focuses on solving for the object's distance (do) in front of a concave mirror with a radius of curvature (r) of 6 cm and a magnification (M) of 4.3. The relevant equations include the magnification formula M = -di/do and the mirror equation (1/do) + (1/di) = 2/R = 1/f. Participants suggest rearranging the magnification equation to express di in terms of do, which can then be substituted into the mirror equation to find do. This method is confirmed as a valid approach to solve the problem.

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Homework Statement


An object is placed a distance do in front of a concave mirror with a radius of curvature r = 6 cm. The image formed has a magnification of M = 4.3. Solve for the object's distance.

Homework Equations


M = -di/do
(1/do) + (1/di) = 2/R = 1/f

The Attempt at a Solution


I've tried to rearrange the magnification equation and sub it into the spherical mirror equation in order to cancel out the di's, so I can solve for do using radius and magnification, except I'm still not even entirely sure how you would manage to make this work.
How would I rearrange these equations to solve for do?
 
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Have you tried solving for 1/di? I mean, find that in the first equation and plug it in the second. From there it should be easy.
 

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