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.

-9z + 5 = 4 - 4z
-9z = 4 - 4z - 5
-9z + 4z = 4 - 5
-5z = -1
z = \( \frac{-1}{-5} \)
z = \(\frac{1}{5}\)

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:

y² + 7y + 5 = 3y + 2
y² + 7y + 5 - 2 = 3y
y² + 7y - 3y + 3 = 0
y² + 4y + 3 = 0

Next, factor the quadratic equation:

y² + 4y + 3 = 0
(y + 1)(y + 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y + 3) must equal zero:

If (y + 1) = 0, y must equal -1
If (y + 3) = 0, y must equal -3

So the solution is that y = -1 or -3

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.

7a⁶ - 7a⁶ = 0a⁶

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 area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 7)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)