A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

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)(7ab) + (4a²)(2b)
(2 x 7)(a x a x b) + (4 x 2)(a² x b)
(14)(a¹⁺¹ x b) + (8)(a²b)
14a²b + 8a²b
22a²b

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.)

-7c(c - z)
-7(-1)(-1 + 1)
-7(-1)(0)
(7)(0)
0

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:

a² + 8a + 14 = -a - 4
a² + 8a + 14 + 4 = -a
a² + 8a + a + 18 = 0
a² + 9a + 18 = 0

Next, factor the quadratic equation:

a² + 9a + 18 = 0
(a + 3)(a + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a + 6) must equal zero:

If (a + 3) = 0, a must equal -3
If (a + 6) = 0, a must equal -6

So the solution is that a = -3 or -6

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a⁷ - 8a⁷ = -2a⁷