( 6 m ^ { 2 } + 36 ( 3 m ^ { 2 } + 12 ) > 0
Solve for m
m\in \mathrm{R}
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6m^{2}+108m^{2}+432>0
Use the distributive property to multiply 36 by 3m^{2}+12.
114m^{2}+432>0
Combine 6m^{2} and 108m^{2} to get 114m^{2}.
m\in \mathrm{R}
The value of the expression 114m^{2}+432 is always positive. Inequality holds for m\in \mathrm{R}.
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