Question

Express the following in the form
ax^2+bx+c=0:
(2x−1)(2x+1)=x(2x+3)

Answer 1

We want ax² + bx + c =0

So, lets go,

(a + b).(a - b) = a² - b²

(2x - 1).(2x + 1) = (2x)² - 1² = 4x² - 1

4x² - 1 = x.(2x + 3)

4x² - 1 = 2x² + 3x

4x² - 2x² - 1 - 3x = 0

2x² - 3x - 1 = 0