\(\left(m^2-16\right)\cdot x=3m+12\)
\(\left(m-4\right)\left(m+4\right)\cdot x-3m-12=0\)
\(\left(m-4\right)\left(m+4\right)\cdot x-3\left(m+4\right)=0\)
\(\left(m+4\right)\left(xm-4x-3\right)=0\)
\(\Rightarrow m+4=0\Rightarrow m=-4\)
\(xm-4x-3=0\)
\(\Leftrightarrow-4x-4x-3=0\Leftrightarrow-8x-3=0\Leftrightarrow x=\dfrac{-3}{8}\)
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(m2−16)⋅x=3m+12(m2−16)⋅x=3m+12
(m−4)(m+4)⋅x−3m−12=0(m−4)(m+4)⋅x−3m−12=0
(m−4)(m+4)⋅x−3(m+4)=0(m−4)(m+4)⋅x−3(m+4)=0
(m+4)(xm−4x−3)=0(m+4)(xm−4x−3)=0
⇒m+4=0⇒m=−4⇒m+4=0⇒m=−4
xm−4x−3=0xm−4x−3=0
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