(x^2-3x-10)/(x^2+2x-35)*(x^2+4x-21)/(x^2+9x+14)

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Solution for (x^2-3x-10)/(x^2+2x-35)*(x^2+4x-21)/(x^2+9x+14) equation:


D( x )

x^2+9*x+14 = 0

x^2+2*x-35 = 0

x^2+9*x+14 = 0

x^2+9*x+14 = 0

x^2+9*x+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)-9)/(1*2) or x = (-25^(1/2)-9)/(1*2)

x = -2 or x = -7

x^2+2*x-35 = 0

x^2+2*x-35 = 0

x^2+2*x-35 = 0

DELTA = 2^2-(-35*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-2)/(1*2) or x = (-144^(1/2)-2)/(1*2)

x = 5 or x = -7

x in (-oo:-7) U (-7:-2) U (-2:5) U (5:+oo)

(((x^2-(3*x)-10)/(x^2+2*x-35))*(x^2+4*x-21))/(x^2+9*x+14) = 0

(((x^2-3*x-10)/(x^2+2*x-35))*(x^2+4*x-21))/(x^2+9*x+14) = 0

((x^2-3*x-10)*(x^2+4*x-21))/((x^2+2*x-35)*(x^2+9*x+14)) = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

(x+2)*(x-5) = 0

x^2+2*x-35 = 0

x^2+2*x-35 = 0

DELTA = 2^2-(-35*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-2)/(1*2) or x = (-144^(1/2)-2)/(1*2)

x = 5 or x = -7

(x+7)*(x-5) = 0

x^2+4*x-21 = 0

x^2+4*x-21 = 0

DELTA = 4^2-(-21*1*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-4)/(1*2) or x = (-100^(1/2)-4)/(1*2)

x = 3 or x = -7

(x+7)*(x-3) = 0

x^2+9*x+14 = 0

x^2+9*x+14 = 0

DELTA = 9^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)-9)/(1*2) or x = (-25^(1/2)-9)/(1*2)

x = -2 or x = -7

(x+7)*(x+2) = 0

((x+2)*(x-5)*(x+7)*(x-3))/((x+7)^2*(x-5)*(x+2)) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x+7 )

x+7 = 0 // - 7

x = -7

( x-3 )

x-3 = 0 // + 3

x = 3

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -2}

x in { -7}

x in { 5}

x = 3

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