Use the factoring to find the solution to the following equation

Hello from MrBillDoesMath!

 Choice C, -(3 +2/3)

Discussion:

Start with

13x^2 + 56x + 75 =  4x^2 -10x - 46

Subtract 4x^2 from both sides:

(13x^2 - 4x^2) + 56x + 75 = -10x - 46

Add 10x to both sides

(13x^2 - 4x^2) + (56x + 10x) + 75 =  (-10x + 10x) - 46 or

9x^2 + 66x + 75 = -46.

Add 46 to each side

9x^2 +66x + (75 + 46) = 0 =>

9x^2 + 66x + 121 = 0.

This factors as follows:

9x^2 + 66x + 121 =  (3x + 11)^2 = 0 =>

3x + 11 = 0 =>

x = -11/3  = - (3 + (2/3))     which is choice C

Thank you,

MrB

could you give more information?

2 x t divided by n

step-by-step explanation: