1/2(x)(x-5)=42

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Solution for 1/2(x)(x-5)=42 equation: 


x in (-oo:+oo)

(1/2)*x*(x-5) = 42 // - 42

(1/2)*x*(x-5)-42 = 0

1/2*x*(x-5)-42 = 0

1/2*x*(x-5)-42 = 0

1/2*x^2-5/2*x-42 = 0

1/2*x^2-5/2*x-42 = 0

1/2*x^2-5/2*x-42 = 0

DELTA = (-5/2)^2-(-42*1/2*4)

DELTA = 361/4

DELTA > 0

x = ((361/4)^(1/2)+5/2)/(1/2*2) or x = (5/2-(361/4)^(1/2))/(1/2*2)

x = 12 or x = -7

(x+7)*(x-12) = 0

(x+7)*(x-12) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-12 )

x-12 = 0 // + 12

x = 12

x in { -7, 12 }

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