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 equal sign and the answer on the other.

z + 6 = -1 + 5z
z = -1 + 5z - 6
z - 5z = -1 - 6
-4z = -7
z = \( \frac{-7}{-4} \)
z = 1\(\frac{3}{4}\)

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 equation that's set to zero is to factor the quadratic equation:

y² - 5y - 36 = 0
(y + 4)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y - 9) must equal zero:

If (y + 4) = 0, y must equal -4
If (y - 9) = 0, y must equal 9

So the solution is that y = -4 or 9

The formula for area is πr²:

a = πr²
a = π(2²)
a = 4π

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.