In the given equation, complete the square and solve it.
4x² - 24x +111= 0

For the following equation, express y in terms of x:

9x² - 15xy + 5y² = 7

By using the quadratic formula, solve the following equation.

x² - 16x + 73 = 0

By applying the square root property, solve:

11(g + 5)² = 121

Solve by factoring:

7a(a - 4) = 4a² - 21a

Solve by factoring:

2j² - 13j = 45

Find the product: (2 - 7x)(- 5 + 4x)

Enlist all values of x that will make the given expression undefined. 5/(x² -7x +6)

For the following equation, calculate the discriminant, as well as the number and type of solutions.

x² - 11x - 12 = 0

Find the domain of the following square root function.

√(x/(10x - 5) - 3)

Simplify the given absolute value inequality and use interval notation to express the solution set. |2x -9| > 8

For the given inequality expression, solve and write the solution set in interval notation. x⁵ - 2x² + 24 ≥ 2x⁴ - x³ + 12x