Question

(4x+x)(5-x)/(2+x)(7-x)=1​

Answer 1

Step-by-step explanation:

$\frac{(4x + x)(5 - x)}{(2 + x)(7 - x)} = 1 \\ (4x + x)(5 - x) = (2 + x)(7 - x) \\ 5x(5 - x) = (2 + x)(7 - x) \\ 25x - 5 {x}^{2} = 14 - 2x + 7x - {x}^{2} \\ 25x - 5 {x}^{2} - 14 + 2x - 7x + {x}^{2} = 0 \\ - 4 {x}^{2} + 20x - 14 = 0 \\ 4 {x}^{2} - 20x + 14 = 0 \\ 2(2 {x}^{2} - 10x + 7) = 0 \\ 2 {x}^{2} - 10x + 7 = 0$

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