The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b² + 6b + 12 = -4b + 3
b² + 6b + 12 - 3 = -4b
b² + 6b + 4b + 9 = 0
b² + 10b + 9 = 0

Next, factor the quadratic equation:

b² + 10b + 9 = 0
(b + 1)(b + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b + 9) must equal zero:

If (b + 1) = 0, b must equal -1
If (b + 9) = 0, b must equal -9

So the solution is that b = -1 or -9

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -12 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -2 and 6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 4y - 12
y² + (-2 + 6)y + (-2 x 6)
(y - 2)(y + 6)