Factorize of the expression: `7sqrt(2)\ x^2-10 x-4sqrt(2)`

Explanation

The given expression is ` 7sqrt(2)x^2-10x-4sqrt(2)`.
Here, `7sqrt(2)xx (-4sqrt(2))=-56`.
So, we split -10 into two parts whose sum is -10 and product -56.
Clearly, `(-14+4)=-10 and (-14)xx 4 =-56`
`therefore 7sqrt(2)x^2-10x -4sqrt(2)=7sqrt(2)x^2-14x +4x-4sqrt(2)`
`=7sqrt(2)x(x-sqrt(2))+4(x-sqrt(2))`
`=(x-sqrt(2)) (7sqrt(2)x+4)`.
Hence,` (7sqrt(2)x^2-10x-4sqrt(2))=(x-sqrt2)(7sqrt(2)x+4)`