[tex]4 {x}^{2} - 10x - 2 = 2(2x + 3)[/tex]
Factor in the 2:
[tex]4 {x}^{2} - 10x - 2 = 4x + 6[/tex]
Subtract the right side of the = from the left:
[tex]4 {x}^{2} - 14x - 8 = 0[/tex]
Divide both sides by 2:
[tex]2 {x}^{2} - 7x - 4 = 0[/tex]
Split:
[tex](2x + 1) \times (x - 4) = 0[/tex]
Set each to 0:
[tex]2x + 1 = 0 \\ 2x = - 1 \\ x = - \frac{1}{2} [/tex]
[tex]x - 4 = 0 \\ x = 4[/tex]
Therefore, x equals 4 and -1/2
