1 Answer

Thraxil · Answer 1 · 2019-03-20T08:06:59+0000

$4 {x}^(2) - 10x - 2 = 2(2x + 3)$
Factor in the 2:

$4 {x}^(2) - 10x - 2 = 4x + 6$
Subtract the right side of the = from the left:

$4 {x}^(2) - 14x - 8 = 0$
Divide both sides by 2:

$2 {x}^(2) - 7x - 4 = 0$
Split:

(2x + 1) * (x - 4) = 0

Set each to 0:

$2x + 1 = 0 \\ 2x = - 1 \\ x = - (1)/(2)$

$x - 4 = 0 \\ x = 4$
Therefore, x equals 4 and -1/2

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