(x+4)(x-7)/2=21

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Solution for (x+4)(x-7)/2=21 equation:


x in (-oo:+oo)

((x+4)*(x-7))/2 = 21 // - 21

((x+4)*(x-7))/2-21 = 0

((x+4)*(x-7))/2+(-21*2)/2 = 0

(x+4)*(x-7)-21*2 = 0

x^2-3*x-70 = 0

x^2-3*x-70 = 0

x^2-3*x-70 = 0

DELTA = (-3)^2-(-70*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)+3)/(1*2) or x = (3-289^(1/2))/(1*2)

x = 10 or x = -7

(x+7)*(x-10) = 0

((x+7)*(x-10))/2 = 0

((x+7)*(x-10))/2 = 0 // * 2

(x+7)*(x-10) = 0

( x+7 )

x+7 = 0 // - 7

x = -7

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -7, 10 }

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