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.

-5a - 9x = -a + 2x + 5
-5a = -a + 2x + 5 + 9x
-5a + a = 2x + 5 + 9x
-4a = 11x + 5
a = \( \frac{11x + 5}{-4} \)
a = \( \frac{11x}{-4} \) + \( \frac{5}{-4} \)
a = -2\(\frac{3}{4}\)x - 1\(\frac{1}{4}\)

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.

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.

8c - 3 > \( \frac{c}{9} \)
9 x (8c - 3) > c
(9 x 8c) + (9 x -3) > c
72c - 27 > c
72c - 27 - c > 0
72c - c > 27
71c > 27
c > \( \frac{27}{71} \)
c > \(\frac{27}{71}\)

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

z² - 4 = 0
(z - 2)(z + 2) = 0

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

If (z - 2) = 0, z must equal 2
If (z + 2) = 0, z must equal -2

So the solution is that z = 2 or -2

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.

2a + 8a = 10a