Question

split the middle term:

${x}^{2} - 4x + 0$
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Answer 1

Step-by-step explanation:

${x}^{2} - 4x + 0 = 0$

${x }^{2} = 4x$

$x = 4$

Answer 2

Step-by-step explanation:

$x {}^{2} - 4x + 0 = 0$

splitting the middle term.

$x {}^{2} - 4x + 0x + 0 = 0$

where

$x { \times 0 = 0}^{2}$

and

$- 4x \times 0x = 0$

and

$- 4x + 0x = - 4x$

Therefore

$x {}^{2} - 4x + 0x + 0 = 0$

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

because

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

so,

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

$x = 0$

$x = 4$

answer x= 0 and x= 4.