Question

(2x+3)(4x-1)<8x^(2)+1

Answer 1

Answer: $x$

Step-by-step explanation:

$(2x+3)(4x-1)$

Begin by multiplying parentheses.

$(2x*4x)+(2x*-1)+(3*4x)+(3*-1)$

$(8x^2)+(-2x)+(12x)+(-3)$

$8x^2-2x+12x-3$

Subtract $8x^2$

$8x^2-2x+12x-3+(-8x^2)$

$-2x+12x-3$

Add 3

$-2x+12x-3+3$

$-2x+12x$

Combine like terms;

$10x$

Divide by 10

$x$

Simplify;

$x$