Solving

Binomials

100

b² +5b=0

b=0, -5

200

x²-4=0

x= -2, 2

300

-b-3b²=0

b=0, -1/3

400

x³-9x=0

x=0, 3, -3

500

9x²=25

x=5/3, -5/3

Trinomials

100

n²+4n-5=0

n=-5, 1

200

x³+2x²+x=0

x=0, -1

300

4x²-40x+96=0

x=4, 6

400

2x²-13x-7=0

x=-1/2, 7

500

8x²+10x=3

x=1/4, -3/2

Grouping

100

x³+x²-x-2=0

x=1, -1, -2

200

x³-5x²+3x-15=0

x= - Square root 3, square root 3, 5

300

2x³-2x²-2x+2=0

x=1, -1

400

5x³-30x²+25x=150

x= SQRT (5), -SQRT (5), 6, 

500

-X³+4X²=-4X+16

X=2, -2, 4

Quadratic formula

100

X²-7X-8=0

X=8, -1

200

x²+7x+11=0

x=-7/2 +(sqrt 5)/2 , -7/2 - (sqrt 5)/2

300

2x²-5x=6

x=5/4 -(sqrt 73)/4, 5/4 +(sqrt 73)/4

400

-x²-8x-7=0

x=-7, -1

500

5x²+35x+65=0

x=-7/2+i(sqrt3)/2, x=-7/2-i(sqrt3)/2

Anything

100

9x²-4=0

x=2/3, -2/3

200

x³-125

x=5, x=-5/2+5i(sqrt 3)/2, -5/2-5i(sqrt 3)/2

300

2x⁴-3x²-5=0

x=sqrt(5/2), -sqrt (5/2), i, -i

400

(2x+1)²-3(2x+1)-4=0

x=3/2, -1

500

(x+3)²-7(x+3)-8

x=5, -4