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:

z² - 9z + 2 = -5z - 1
z² - 9z + 2 + 1 = -5z
z² - 9z + 5z + 3 = 0
z² - 4z + 3 = 0

Next, factor the quadratic equation:

z² - 4z + 3 = 0
(z - 1)(z - 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 3) must equal zero:

If (z - 1) = 0, z must equal 1
If (z - 3) = 0, z must equal 3

So the solution is that z = 1 or 3

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).

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 8)(2)
a = ½(12)(2)
a = ½(24) = \( \frac{24}{2} \)
a = 12

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

2a x 5b = (2 x 5) (a x b) = 10ab

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.)

5a(a - z)
5(-7)(-7 + 2)
5(-7)(-5)
(-35)(-5)
175