Answer:
Step-by-step explanation:
1 ÷ 2(2x+6) = 4x-1
[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]
[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]
1 = (4x - 1)(4x + 12)
Use FOIL method.
1 = 4x * 4x + 4x *12 - 1 * 4x - 1*12
1 = 16x² + 48x - 4x - 12
1 = 16x² + 44x -12
0 = 16x² + 44x - 12 -1
16x² + 44x - 13 = 0
