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:

x² - 3x + 14 = 4x + 4
x² - 3x + 14 - 4 = 4x
x² - 3x - 4x + 10 = 0
x² - 7x + 10 = 0

Next, factor the quadratic equation:

x² - 7x + 10 = 0
(x - 2)(x - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x - 5) must equal zero:

If (x - 2) = 0, x must equal 2
If (x - 5) = 0, x must equal 5

So the solution is that x = 2 or 5

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

The formula for area is πr²:

a = πr²
a = π(4²)
a = 16π

You need to find the value of c so solve the first equation in terms of z:

5c + z = 5
z = 5 - 5c

then substitute the result (5 - 5c) into the second equation:

-5c + 7(5 - 5c) = 1
-5c + (7 x 5) + (7 x -5c) = 1
-5c + 35 - 35c = 1
-5c - 35c = 1 - 35
-40c = -34
c = \( \frac{-34}{-40} \)
c = \(\frac{17}{20}\)

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.