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.

-4c - 2y = -5c + 4y + 1
-4c = -5c + 4y + 1 + 2y
-4c + 5c = 4y + 1 + 2y
c = 6y + 1

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.

(4a)(8ab) + (8a²)(9b)
(4 x 8)(a x a x b) + (8 x 9)(a² x b)
(32)(a¹⁺¹ x b) + (72)(a²b)
32a²b + 72a²b
104a²b

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-2x - 1 < \( \frac{x}{-6} \)
-6 x (-2x - 1) < x
(-6 x -2x) + (-6 x -1) < x
12x + 6 < x
12x + 6 - x < 0
12x - x < -6
11x < -6
x < \( \frac{-6}{11} \)
x < -\(\frac{6}{11}\)

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².