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> (distribute x) x²+5x=2

> (transpose 2 to the other side) x²+5x-2=0

final answer: x²+5x-2=0

2. (s+6)²=15

> s²+12s+36=15

> [transpose 15 to the other side] s²+12s+36-15=0

> [combine like terms] s²+12s+21=0

final answer: s²+12s+21=0

3. (t+2)²+(t-3)²=9

> (t+2)(t+2)+(t-3)(t-3)=9

> t²+4t+4+t²-6t+9=9

> [transpose 9 to the other side] t²+4t+4+t²-6t+9-9=0

> [combine similar terms] 2t²-2t+4=0

final answer: 2t²-2t+4=0

4. (2r+3)²+(r+4)²=0

> 4r²+12r+9+r²+8r+15=0

>[combine similar terms] 5r²+20r+24=0

final answer: 5r²+20r+24=0

5. (m-4)²+(m-7)²=15

> m²-8m+16+m²-14m+49=15

> [transpose 15 to the other side] m²-8m+16+m²-14m+49-15=0

> [combine similar terms] 2m²-22m+50=0

final answer: 2m²-22m+50=0 [mali pagkabasa ko sa una sorry]

[putek hirap nito isulat haha pero sorry kung magulo yung solution!!]