Question

solve for x
4x^2=-4x+3

Answer 1

Firstly bring all terms to one side..

You can do by adding 4x both the sides and then subtracting 3 from both the sides..

You will get:

\(4x^2 + 4x - 3 = 0\)

Answer 2

\[4x^2 + 4x - 3 = 0 \implies 4x^2 + 6x-4x-3 = 0 \implies 2x(2x+3) - 1(2x+3) = 0 \\ \quad \quad \quad \quad \quad \quad \quad \implies \color{green}{(2x-1)(2x+3) = 0}\]

Answer 3

Now, either first bracket will be 0 or second bracket or both..

So: Set the two brackets separately to \(0\), as find \(x\), you will get two values of \(x\)..