What is the solution to the following equation? 4x^2-48x=-144

x = 6

Step-by-step explanation:

Start off by reducing this equation: divide all three terms by 4. This yields:

x^2 - 12x + 36 = 0

This equation has the form (x - h) ^2, the square of a binomial.

x^2 - 12x + 36 = 0, written as the square of the binomail x - 6, comes out to:

(x - 6) ^2 = 0. This equation has a repeated real root: x = 6