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91Ó°ÊÓ

Solve (2m+1)(m+3)=12m

Short Answer

Expert verified

The value ism=1,32

Step by step solution

01

Given information

Given the equation(2m+1)(m+3)=12m

02

Multiply the binomials

Multiplying the binomials, we get

2m2+6m+m+3=12m2m2+7m+3=12m2m2-5m+3=02m2-3m-2m+3=0m(2m-3)-1(2m-3)=0(m-1)(2m-3)=0m=1,32

03

Checking the values

Substituting and checking the values, we have

(2×1+1)(1+3)=12×1(3)(4)=1212=12(2×32+1)(32+3)=12×324×92=1818=18

So this is correct

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