Question

is 16 m + 2 into 2 m + 2 equals to 2 and + 1 then find M solve it step by step ​

Answer 1

Answer:

$16m+2\cdot \:2m+2=2+1\quad :\quad m=\dfrac{1}{20}\quad \left(\mathrm{Decimal}:\quad m=0.05\right)$

Step-by-step explanation:

$16m+2\cdot \:2m+2=2+1$

$\gray{\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}}$

$16m+2\cdot \:2m+2-2=2+1-2$

$\gray{\mathrm{Simplify}}$

$16m+2\cdot \:2m=1$

$\gray{\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4}$

$16m+4m=1$

$\gray{\mathrm{Add\:similar\:elements:}\:16m+4m=20m}$

$20m=1$

$\gray{\mathrm{Divide\:both\:sides\:by\:}20}$

$\dfrac{20m}{20}=\dfrac{1}{20}$

$\mathrm{Simplify}$

$m=\dfrac{1}{20}$

Answer 2

Step-by-step explanation:

Given

(16m+2) (2m+2)=2m+1

Now, we've to find the value of m.

$32m^2+32m+4m+4=2m+1\\ \\ \implies 32m^2+36m+4-2m-1=0\\ \\ \implies 32m^2+34m+3=0\\ \\ \sf Using\ quadratic\ formula\ where\ a=32,\ b=34\ and\ c=3\\ \\ \implies \bf quadratic\ formula=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\ \\ \implies \frac{-(34)\pm\sqrt{34^2-4\times 32\times 3}}{2\times 32}\\ \\ \\ \implies \frac{-34\pm\sqrt{1156-4\times 32\times 3}}{2\times 32}\\ \\ \\ \implies \frac{-34\pm\sqrt{1156-384}}{64}\\ \\ \\ \implies \frac{-34\pm2\sqrt{193}}{64}\\ \\ \\ \implies \frac{-17\pm\sqrt{193}}{32}\\ \\ \\ \bf \therefore \frac{-17+\sqrt{193}}{32}\qquad or\qquad \frac{-17-\sqrt{193}}{32} are\ the\ values\ of\ m.$

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