X2+12x+35 should be written as <span>x^2+12x+35, where "^"
denotes exponentiation.
Since the coefficient of the x^2 term is 1, we can focus on 35, finding its factors. Note that 35 = 1*35, 5*7. Also note that 5+7 = 12.
Thus, </span>x^2+12x+35 can be re-written as (x+5)(x+7). As a check, multiply 5 and 7; you get 35, which matches the original <span>x^2+12x+35. Then add 5x to 7x, obtaining 12x, which also matches.</span>
There were 20 pieces of wood left.
Work:
420 ÷ 7 = 60
60 - 40 = 20
Your answer is 20.
Hope this helps!
To solve for x in terms of b, simply treat b as a number, and solve for x as usual: first of all, we expand the left hand side:

Subtract 10 from both sides:

Divide both sides by -2b:

This means that in particular, if we set
, we have

Let's group the cubic function:

.
The first two roots are

however to find the last two roots we need to solve the square equation:

. Now we know the discriminator, using the discriminator we're able to find the roots of the equation:

. The roots of the square equation are

and

.
The roots of the cubic function are

,

and

.