Test tomorrow, help! Algebra?!?

Question

The question is solve

(x+2)(x+3)=156

I worked out that the answer is 10, and I got that xsquared + 5x = 150

The rest???

Please only answer if you actually know.

Thanks

Answer 1

(x+2)(x+3)=156

x^2+5x+6=156

x^2+5x-150=0

(x+15)(x-10)=0

x= -15

x=10

Answer 2

5x=150

divide them =30

Answer 3

(x+2)(x+3)=156

x^2+5x=150               transpose 156

x^2+5x-150=0            factor the term

(x+15)(x-10)=0           separate

x+15=0             x-10=0

x=-15                 x=10

Answer 4

the richard answer  is correct except that the answer is 10 or -15

not 10 and -15

Answer 5

(x + 2)(x + 3) = 156

x*x + 2*x +  x*3 + 2*3 = 156

x^2 + 2x + 3x + 6 = 156

x^2 + 5x + 6 - 156 = 0

x^2 + 5x - 150 = 0

x^2 + 15x - 10x - 150 = 0

(x^2 + 15x) - (10x + 150) = 0

x(x + 15) - 10(x + 15) = 0

(x + 15)(x - 10) = 0

x + 15 = 0

x = -15

x - 10 = 0

x = 10

∴ x = -15 , 10

Answer 6

x = 10 or x = -15  :)

Answer 7

(x+2)(x+3)=156  

x^2+5x+6=156           first multiply it

x^2+5x=156-6            then transpose 6

x^2+5x-150=0            then equal it to 0

(x+15)(x-10)=0           then factor it

x+15=0   x-10=0        the both factors equal to 0

x= -15

x=10

Answer 8

x^2 + (2 + 3)x + 6 = 156 // 15-6

x^2 + 5x - 150 = 0

x^2 + 2*2.5x + 2.5^2 - 2.5^2 - 150 = 0

(x + 2.5)^2 - 6.25 - 150 = 0

(x + 2.5)^2 - 156.25 = 0

(x + 2.5)^2 - 12.5^2 = 0

(x + 2.5  + 12.5)(x + 2.5 - 12.5) = 0

(x + 15)(x - 10) = 0

x1 = -15

x2 = 10

Answer 9

x sqr + 5x -150 =0