When 28 is subtracted from the square of a number, the result is 3 times the number. Find the negati

When 28 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution.

Let the number be n.

Square of a number:
n^2

28 is subtracted from the square of a number:
n^2 - 28

3 times the number:
3n

The result is mean an equation, so we set n^2 - 28 = 3n
n^2 - 28 = 3n

Subtract 3n from each side:
n^2 - 3n - 28 = 3n - 3n

The right side cancels to 0, so we have:
n^2 - 3n - 28 = 0

This is a quadratic equation in standard form, so we use our quadratic calculator to solve:

We get two solutions for n:
n = (-4, 7)

The question asks for the negative solution, so our answer is:
n = -4