Question

36x² - 65x + 25 = 0
Work out the value of x.

Answer 1

Let’s solve this step-by-step

First factor the equation,

(9x - 5) (4x - 5) = 0

Then set each factor equal to zero,

9x - 5 = 0 and 4x - 5 = 0

Both x = 5 / 9 or x = 5 / 4 are correct

Answer 2

Find two numbers that add to -65 and times to 900.
Use these to split the middle term
Find the common factor in each
Use brackets to find 0