Solving Quadratics by Factoring

Writing in Standard Form

100

write in standard form x^2+6=5x

x^2-5x+6=0

200

Write in Standard Form -6=-x^2-x

x^2+x-6=0

300

2x - 2x^2 = 8

-2x^2 + 2x - 8 = 0

Factoring GCF

100

2x^3+4x^2+6x = 0

2x(x+3)(x+1)=0 x = 0,-3,-1

200

15x^2-10x+25 = 0

5(3x^2-2x+5) = 0

Factoring Trinomial into Product of Two Binomials

100

Factor and solve x^2-5x+6 = 0

(x-3)(x-2) = 0 x = 3,2

200

Factor x^2+x-6 = 0

(x+3)(x-2) x = -3, 2

300

x^2 - 2x + 1 = 0

(x-1)(x-1) =0 x = 1

Solving using Zero Product Property

100

solve for x (x-3)(x-2)=0

x=3,2

200

solve for x (x+3)(x-2)

x=-3,2

300

(3x - 5)(2x - 4) = 0

x = 5/3, 4/2

Putting it all Together

100

Solve for x: 2x^2-20x+44=-4

x=6,4

200

Solve for x: x^2+5x-35=3x

x=-7,5

300

2x^2 - 5x - 3 = 0

x = -1/2, 3