Solving quadratic equations: x² + 6x + 5 = 45

First bring all terms to one side left equal to zero

X^2 + 6x - 40

Now we need to factor this, meaning find 2 binomials that when multiplied result in the original.

Start with (x) (x) because x*x = x^2

The last part is negative, so we can turn it into (x+) (x-)

Now we need to find two numbers that add to 6 and multiply to - 40

The numbers that work are 10 and - 4

Now we put those in to get (x+10) (x-4) = 0

Now it is factored.

Because they equal 0, that means that one or both of the expressions inside the parentheses must equal zero

So we can split it up into x+10=0 and x-4=0

Solving for those we get x=-10 or x=4

Final answer:

X=-10 or x=4