MATH HELP!!! PLEASE!!!!?

Question

select a method to determine the roots of the equation 5x^2+2x+15= 4x^2 + 13x - 15

Answer 1

The equation is 5x² + 2x + 15 = 4x² + 13x - 15.

Subtract 4x² from each side.

x² + 2x + 15 = 13x - 15

Subtract 13x from each side.

x² - 11x + 15 = - 15

Add 15 to each side.

x² - 11x + 30 = 0.

By factor by grouping.

x² - 6x - 5x + 30 = 0

x(x - 6) - 5(x - 6) = 0

Factor : (x - 6)(x -5) = 0.

Apply zero product property.

x - 6 = 0 and x - 5 = 0

x = 6 and x =5.

The roots of the given equation are x = 6 and x = 5.