Solving Quadratic Equations by Factoring Answers

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?

The square of a number is 12 less than 7 times the number. What is the number?

The solutions to the equation are or