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Factor the equation: (x - 2)(x - 3) = 0.
Roots are x = 2 and x = 3.
#### 2, 3
The area of a triangle is 54 square meters, and its base is 9 meters. Find its height.
Area = 1/2 × base × height.
= 1/2 × 9 × height.
Solve for height: height = 54 / (1/2 × 9) = 12 meters.
A sequence is defined by the formula a_n = 3n + 2. What is the 10th term?
a_10 = 3(10) + 2 = 30 + 2 = 32.
A ladder is leaning against a wall, reaching a height of 12 meters. If the ladder is 15 meters long, how far is the base of the ladder from the wall?