Question

factorize : 7x^2- 10 x-8

Explain step by step​

Answer 1

$= \: \: 7 {x}^{2} - 10x - 8 \\ = 7 {x}^{2} - 14x + 4x - 8 \\ = 7x(x - 2) + 4(x - 2) \\ = (x - 2)(7x + 4)$

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Answer 2

Step-by-step explanation:

$7 {x}^{2} - 10x - 8 = 0$

$7 {x}^{2} - (14 - 4)x - 8 = 0$

$7 {x}^{2} - 14x + 4x - 8 = 0$

$7x(x - 2) + 4(x - 2) = 0$

$(7x + 4)(x - 2) = 0$

$7x + 4 = 0$

$x = - \frac{4}{7}$

And

$x - 2 = 0$

$x = 2$

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