((2x+8)(x+3))/2=42

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Solution for ((2x+8)(x+3))/2=42 equation: 


x in (-oo:+oo)

((2*x+8)*(x+3))/2 = 42 // - 42

((2*x+8)*(x+3))/2-42 = 0

((2*x+8)*(x+3))/2+(-42*2)/2 = 0

(2*x+8)*(x+3)-42*2 = 0

2*x^2+14*x-60 = 0

2*x^2+14*x-60 = 0

2*(x^2+7*x-30) = 0

x^2+7*x-30 = 0

DELTA = 7^2-(-30*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)-7)/(1*2) or x = (-169^(1/2)-7)/(1*2)

x = 3 or x = -10

2*(x+10)*(x-3) = 0

(2*(x+10)*(x-3))/2 = 0

(2*(x+10)*(x-3))/2 = 0 // * 2

2*(x+10)*(x-3) = 0

( x+10 )

x+10 = 0 // - 10

x = -10

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -10, 3 }

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