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c) 3x.2 + 15 = 33
> 3x.2 = 33 - 15
> 3x.2 = 18
> 3x = 18 : 2
> 3x = 9
> x = 2
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a) 3x – 2 = 19
3x = 19 + 2
3x = 21
x = 21:3
x = 7
b) [43 - (56 - x)].12 = 384
43 – (56 – x) = 384:12
43 – (56 – x) = 32
56 – x = 43 – 32
56 – x = 11
x = 56 – 11
x = 45
c) 3x.2 + 15 = 33
3x.2 = 33 - 15
3x.2 = 18
3x = 18 : 2
3x = 9
3x = 33
x = 2.
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e: =>-40+3+33+40-x=47
=>36-x=47
=>x=-11
f: =>x(x-3)(11-x)(11+x)=0
hay \(x\in\left\{0;3;11;-11\right\}\)
g: =>-62-38-x+2x=-100
=>x-100=-100
hay x=0
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i: =>x-12-2x-31=6
=>-x-43=6
=>x+43=-6
hay x=-49
h: =>(x+1)=0
=>x=-1
f: =>x(x-3)(x+11)(x-11)=0
hay \(x\in\left\{0;3;-11;11\right\}\)
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\(\left(25\cdot21+25\cdot51\right):36\\ =\left[25\cdot\left(21+51\right)\right]:36\\ =\left(25\cdot72\right):36\\ =1800:36\\ =50\\ \left\{188-\left[33+\left(6^2-7\cdot3\right)\right]\right\}:70\\ =\left\{188-\left[33+\left(36-21\right)\right]\right\}:70\\ =\left[188-\left(33+15\right)\right]:70\\ =\left(188-48\right):70\\ =140:70\\ =2\)
\(\left(x-1\right)\left(15-3x\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-1=0\\15-3x=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=1\\3x=15\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=5\end{matrix}\right.\)
\(720:\left[41-\left(2x+5\right)\right]=2^3\cdot5=8\cdot5\\ \Rightarrow720:\left[41-\left(2x+5\right)\right]=40\\ \Rightarrow41-\left(2x+5\right)=720:40\\ \Rightarrow41-\left(2x+5\right)=18\\ \Rightarrow2x+5=41-18\\ \Rightarrow2x+5=23\\ \Rightarrow2x=23-5\\ \Rightarrow2x=18\\ \Rightarrow x=18:2\\ \Rightarrow x=9\)
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a) \(M=\left\{x\inℕ|4x\le16\right\}\)
\(\Rightarrow M=\left\{x\inℕ|x\le4\right\}\)
\(\Rightarrow M=\left\{1;2;3;4\right\}\)
b) \(N=\left\{x\inℕ|15< 3x\le33\right\}\)
\(\Rightarrow N=\left\{x\inℕ|5< x\le11\right\}\)
\(\Rightarrow N=\left\{6;7;8;9;10;11\right\}\)
⇔6x=33-15
⇔6x=18
⇔x=3
=>x=3