Originally Posted by

**daniel123** Hi, i am struggling with factorising the quadratic equations. I have got to grips with basic factorisation. any help?

1. solve the following quadratic equations by factorisation:

a)

(x+6)(x-3)=22

x^2 + 3x - 18 = 22

x^2 + 3x - 40 = 0

(x + 8)(x - 5) = 0

set each factor = 0 and solve.

b) 20x=4+3/x

multiply every term by x ...

20x^2 = 4x + 3

20x^2 - 4x - 3 = 0

factor, set each factor = 0 and solve

c) 4t(3t-2)=3-8t

12t^2 - 8t = 3 - 8t

set = 0 and solve as before

2.

a) x^2=7x+4

set = 0 and solve as before

b) (3x+4)(x-1)=1

expand, set = 0 and solve

c) 1/(2x-7)=x/(x-1)

note the parentheses.

cross multiply ...

x(2x-7) = 1(x-1)

distribute, set = 0 and solve