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

5c - 8y = c - 5y + 4
5c = c - 5y + 4 + 8y
5c - c = -5y + 4 + 8y
4c = 3y + 4
c = \( \frac{3y + 4}{4} \)
c = \( \frac{3y}{4} \) + \( \frac{4}{4} \)
c = \(\frac{3}{4}\)y + 1

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 rectangle is equal to its length x width:

a = l x w
a = a x b
a = 6 x 8
a = 48

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

c² - c - 56 = 0
(c + 7)(c - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 7) or (c - 8) must equal zero:

If (c + 7) = 0, c must equal -7
If (c - 8) = 0, c must equal 8

So the solution is that c = -7 or 8

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.