Question

Solve by factoring
6x^2 +13x -28 =0

Answer 1

x=-7/2, x=4/3

Explanation:

`6x^2+13x-28=0`

Multiply 6 and -28 to get -168

Find 2 numbers that multiply to 168 but add to 13

They are 21 & -8

Rewrite the equation into:

`6x^2+21x-8x-28=0`

Factor

`3x(2x+7)-4(2x+7)=0`

(3x-4)(2x+7)=0

3x=4

x=4/3

2x=-7

x=-7/2