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Expand the brackets: 4m - 8 = 5tm + 3t

Collect all m variables to one side: 4m - 5tm = 3t + 8

Take a factor of m out: m(4 - 5t) = 3t + 8

Divide both sides by (4 - 5t): m = (3t + 8) / ...

A key component of using Surds is knowing how to multiply them. As such √3 x √3 = 3, √4 x √4 = 4 and so on. The √ sign means the root of this number.

On to the Question given we are asked to ration...

Apply the quadratic formula with a=1, b=-1, c=-12. This gives x=(1 plus or minus 7)/2 or x=4,-3.