We have, 3( 4x 58 ) #160; / 7 = 7x+5 / 7 #160; 12x 174 / 7 = 7x+5 / 7 #160; 12x 7x=5+174 #160; 5x = 179 x = 179/5 H ...

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Solving a Quadratic Equation by Factorization Method

34x-587=7x+57

Question

$\frac{3 (4 x - 58)}{7} = \frac{7 x + 5}{7}$

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Solution

We have,
$\begin{matrix} \frac{3 (4 x - 58)}{7} = \frac{7 x + 5}{7} \frac{12 x - 174}{7} = \frac{7 x + 5}{7} 12 x - 7 x = 5 + 174 \end{matrix}$
$5 x = 179$
$x = \frac{179}{5}$
Hence,
We get $x = 35.8$

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Question 177(i)

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