An equation is formed when two equal expressions. The equation has only one solution which is equal to 16.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation can be done in the following manner,
[tex]\dfrac{3}{2g+8} = \dfrac{g+2}{g^2-16}\\\\3(g^2-16)= (g+2)(2g+8)\\\\3g^2 - 48 = 2g^2+8g+4g+16\\\\3g^2-48=2g^2+12g+16\\\\3g^2-2g^2-12g-48-16=0\\\\g^2-12g-64=0\\\\g^2-16g+4g-64=0\\\\g(g-16) + 4 (g-16)=0\\\\(g-16)(g+4)=0[/tex]
Thus, we will get the value of g as -4 and 16. But if we substitute the value of g as -4, the equation will have 0 as the denominator on both sides.
Hence, the equation has only one solution which is equal to 16.
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