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

2a + 4z = 6a + 6z + 9
2a = 6a + 6z + 9 - 4z
2a - 6a = 6z + 9 - 4z
-4a = 2z + 9
a = \( \frac{2z + 9}{-4} \)
a = \( \frac{2z}{-4} \) + \( \frac{9}{-4} \)
a = -\(\frac{1}{2}\)z - 2\(\frac{1}{4}\)

The volume of a cube is height x length x width:

v = h x l x w
v = 1 x 8 x 8
v = 64

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.

3a² - 7a² = -4a²

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.

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 + 9x + 24 = -2x - 4
x² + 9x + 24 + 4 = -2x
x² + 9x + 2x + 28 = 0
x² + 11x + 28 = 0

Next, factor the quadratic equation:

x² + 11x + 28 = 0
(x + 4)(x + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 4) or (x + 7) must equal zero:

If (x + 4) = 0, x must equal -4
If (x + 7) = 0, x must equal -7

So the solution is that x = -4 or -7