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16=25+6^{2}-2\times 5\times 6x
Calculate 5 to the power of 2 and get 25.
16=25+36-2\times 5\times 6x
Calculate 6 to the power of 2 and get 36.
16=61-2\times 5\times 6x
Add 25 and 36 to get 61.
16=61-10\times 6x
Multiply 2 and 5 to get 10.
16=61-60x
Multiply 10 and 6 to get 60.
61-60x=16
Swap sides so that all variable terms are on the left hand side.
-60x=16-61
Subtract 61 from both sides.
-60x=-45
Subtract 61 from 16 to get -45.
x=\frac{-45}{-60}
Divide both sides by -60.
x=\frac{3}{4}
Reduce the fraction \frac{-45}{-60} to lowest terms by extracting and canceling out -15.