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:

a² + 6a - 22 = 4a + 2
a² + 6a - 22 - 2 = 4a
a² + 6a - 4a - 24 = 0
a² + 2a - 24 = 0

Next, factor the quadratic equation:

a² + 2a - 24 = 0
(a - 4)(a + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 4) or (a + 6) must equal zero:

If (a - 4) = 0, a must equal 4
If (a + 6) = 0, a must equal -6

So the solution is that a = 4 or -6

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -45 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -9 and 5. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 4y - 45
y² + (-9 + 5)y + (-9 x 5)
(y - 9)(y + 5)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 65° = 53°

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.

4a - 3a = 1a

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).