(2x+7/5)(-3x+11/2)=(2x+8/3)-5

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Solution for (2x+7/5)(-3x+11/2)=(2x+8/3)-5 equation:


x in (-oo:+oo)

(2*x+7/5)*(11/2-3*x) = 2*x+8/3-5 // - 2*x+8/3-5

(2*x+7/5)*(11/2-3*x)-(2*x)-(8/3)+5 = 0

(2*x+7/5)*(11/2-3*x)-2*x-8/3+5 = 0

(3*(2*x+7/5)*(11/2-3*x))/3+(-2*3*x)/3-8/3+(3*5)/3 = 0

3*(2*x+7/5)*(11/2-3*x)-2*3*x+3*5-8 = 0

72/5*x-18*x^2-8+15+231/10 = 0

72/5*x-18*x^2+15+151/10 = 0

72/5*x-18*x^2+301/10 = 0

72/5*x-18*x^2+301/10 = 0

72/5*x-18*x^2+301/10 = 0

DELTA = (72/5)^2-(-18*4*301/10)

DELTA = 59364/25

DELTA > 0

x = ((59364/25)^(1/2)-72/5)/(-18*2) or x = (-(59364/25)^(1/2)-72/5)/(-18*2)

x = ((59364/25)^(1/2)-72/5)/(-36) or x = ((59364/25)^(1/2)+72/5)/36

(x-(((59364/25)^(1/2)-72/5)/(-36)))*(x-(((59364/25)^(1/2)+72/5)/36)) = 0

((x-(((59364/25)^(1/2)-72/5)/(-36)))*(x-(((59364/25)^(1/2)+72/5)/36)))/3 = 0

((x-(((59364/25)^(1/2)-72/5)/(-36)))*(x-(((59364/25)^(1/2)+72/5)/36)))/3 = 0 // * 3

(x-(((59364/25)^(1/2)-72/5)/(-36)))*(x-(((59364/25)^(1/2)+72/5)/36)) = 0

( x-(((59364/25)^(1/2)+72/5)/36) )

x-(((59364/25)^(1/2)+72/5)/36) = 0 // + ((59364/25)^(1/2)+72/5)/36

x = ((59364/25)^(1/2)+72/5)/36

( x-(((59364/25)^(1/2)-72/5)/(-36)) )

x-(((59364/25)^(1/2)-72/5)/(-36)) = 0 // + ((59364/25)^(1/2)-72/5)/(-36)

x = ((59364/25)^(1/2)-72/5)/(-36)

x in { ((59364/25)^(1/2)+72/5)/36, ((59364/25)^(1/2)-72/5)/(-36) }

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