What is the solution to the following equation?

4x^2-48x = -144

A.) x = -6
B.) x = 6
C.) x = -6,36
D.) x = 6,36

The answer to your question is the letter B. x = 6

Step-by-step explanation:

Data

               4x² - 48x = -144

Process

1.- Equal to zero

               4x² - 48x + 144 = 0

2.- Multiply 4 by 144

             4 x 144 = 576

3.- Find the prime factors of 576

                     576   2

                     288   2

                     144    2

                       72    2

                       36   2

                       18    2

                        9    3

                        3     3

                         1

4.- Find two numbers that added gives -48,

     these numbers are -24 and -24

5.- Write the equation using these numbers

              4x² -24x - 24x + 144 = 0

6.- Factor by grouping

             4x(x - 6) - 24(x - 6)

7.- Factor by like terms

             (x - 6)(4x - 24)

8.- Find the solutions

              x - 6 = 0           4x - 24 = 0                            

              x = 6                   4x = 24

                                        x = 24/4

                                        x = 6

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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