Which of the following are solutions to the equation below?

Check all that apply.

6x2 - 2x + 36 = 5x2 + 10x

O A. 18

B. 4

C. 6

D. - 6

O E. - 3

F. - 4

The answer B. 4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4) (x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4) (x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9. The correct answer choice is B.