(4x*x)+16x+15=0

Solution for (4x*x)+16x+15=0 equation:

(4x*x)+16x+15=0

We add all the numbers together, and all the variables

(+4x*x)+16x+15=0

We add all the numbers together, and all the variables

16x+(+4x*x)+15=0

We get rid of parentheses

16x+4x*x+15=0

Wy multiply elements

4x^2+16x+15=0

a = 4; b = 16; c = +15;
Δ = b2-4ac
Δ = 162-4·4·15
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4}{2*4}=\frac{-20}{8}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4}{2*4}=\frac{-12}{8}
=-1+1/2
$