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m^{2}-6m+9=m^{2}+2
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(m-3\right)^{2}.
m^{2}-6m+9-m^{2}=2
Tangohia te m^{2} mai i ngā taha e rua.
-6m+9=2
Pahekotia te m^{2} me -m^{2}, ka 0.
-6m=2-9
Tangohia te 9 mai i ngā taha e rua.
-6m=-7
Tangohia te 9 i te 2, ka -7.
m=\frac{-7}{-6}
Whakawehea ngā taha e rua ki te -6.
m=\frac{7}{6}
Ka taea te hautanga \frac{-7}{-6} te whakamāmā ki te \frac{7}{6} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.