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 Difficult Problems

1

Here, we show you a step-by-step solved example of quadratic formula. This solution was automatically generated by our smart calculator:

$x^2+6x+8=0$
2

Find the roots of the equation using the Quadratic Formula

$x^2+6x+8=0$
3

Factor the trinomial $x^2+6x+8$ finding two numbers that multiply to form $8$ and added form $6$

$\begin{matrix}\left(2\right)\left(4\right)=8\\ \left(2\right)+\left(4\right)=6\end{matrix}$
4

Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

$\left(x+2\right)\left(x+4\right)=0$
5

Break the equation in $2$ factors and set each equal to zero, to obtain

$x+2=0,\:x+4=0$
6

Solve the equation ($1$)

$x+2=0$
7

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $2$ from both sides of the equation

$x+2-2=0-2$
8

Canceling terms on both sides

$x=-2$
9

Solve the equation ($2$)

$x+4=0$
10

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $4$ from both sides of the equation

$x+4-4=0-4$
11

Canceling terms on both sides

$x=-4$
12

Combining all solutions, the $2$ solutions of the equation are

$x=-2,\:x=-4$

 Final answer to the problem

$x=-2,\:x=-4$

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