If seven times a number is added to the squares of the number and the result is negative twelve, find the numbers. explain answer.

█ Problem █

If seven times a number is added to the squares of the number and the result is negative twelve, find the numbers.

◼ Let's place the letter x as 'a number' in this problem.
◼ 7x is 7 times a number
◼ x * x = x^2 for square of the number
◼ Set up the equation to x^2 + 7x 
◼ We know the result is going to be -12. x^2 + 7x = -12 
◼ Solve using the quadratic formula. 
◼ x^2 + 7x + 12 = 0 
◼ (x + 3)(x + 4) = 0 
◼ The numbers are -4 and -3

-4 and -3

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia