The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b² - 25 = 0
(b - 5)(b + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b + 5) must equal zero:

If (b - 5) = 0, b must equal 5
If (b + 5) = 0, b must equal -5

So the solution is that b = 5 or -5

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 5)(y - 1)
(y x y) + (y x -1) + (-5 x y) + (-5 x -1)
y² - y - 5y + 5
y² - 6y + 5

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-b(b - x)
-1(9)(9 + 4)
-1(9)(13)
(-9)(13)
-117

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

8b - 7x = 5b - 6x + 8
8b = 5b - 6x + 8 + 7x
8b - 5b = -6x + 8 + 7x
3b = x + 8
b = \( \frac{x + 8}{3} \)
b = \( \frac{x}{3} \) + \( \frac{8}{3} \)
b = \(\frac{1}{3}\)x + 2\(\frac{2}{3}\)