Question

Solve for x using the Master Product. 4x^2 + 8x + 3 = 0 Master Product: And try

Answer 1

quadratic equation

the solution of the quadratic equation is twofold, to find the solution, you can factor it first.

4x² + 8x + 3 = 0

4x² + 6x + 2x + 3 = 0

2x(2x + 3) + 1(2x + 3) = 0

(2x + 3) (2x+1) = 0

2x+3=0 or 2x+1=0

x=-3/2 x=-1/2

You can try to prove that the x value above will produce 0

• first x = -3/2

= 4(-3/2)² + 8(-3/2) + 3

= 9 - 12 + 3

= 0 (true ✔️)

• second x = -1/2

= 4(-1/2)² + 8(-1/2) + 3

= 1 - 4 + 3

= 0 (true ✔️)