(7-21x/6)(4x+10/14-42x)=1

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Solution for (7-21x/6)(4x+10/14-42x)=1 equation: 


x in (-oo:+oo)

(7-((21*x)/6))*(4*x-(42*x)+10/14) = 1 // - 1

(7-((21*x)/6))*(4*x-(42*x)+10/14)-1 = 0

((-7/2)*x+7)*(4*x-42*x+10/14)-1 = 0

(7-7/2*x)*(5/7-38*x)-1 = 0

(7-7/2*x)*(5/7-38*x)-1 = 0

133*x^2-537/2*x+4 = 0

133*x^2-537/2*x+4 = 0

133*x^2-537/2*x+4 = 0

DELTA = (-537/2)^2-(4*4*133)

DELTA = 279857/4

DELTA > 0

x = ((279857/4)^(1/2)+537/2)/(2*133) or x = (537/2-(279857/4)^(1/2))/(2*133)

x = ((279857/4)^(1/2)+537/2)/266 or x = (537/2-(279857/4)^(1/2))/266

(x-((537/2-(279857/4)^(1/2))/266))*(x-(((279857/4)^(1/2)+537/2)/266)) = 0

(x-((537/2-(279857/4)^(1/2))/266))*(x-(((279857/4)^(1/2)+537/2)/266)) = 0

( x-(((279857/4)^(1/2)+537/2)/266) )

x-(((279857/4)^(1/2)+537/2)/266) = 0 // + ((279857/4)^(1/2)+537/2)/266

x = ((279857/4)^(1/2)+537/2)/266

( x-((537/2-(279857/4)^(1/2))/266) )

x-((537/2-(279857/4)^(1/2))/266) = 0 // + (537/2-(279857/4)^(1/2))/266

x = (537/2-(279857/4)^(1/2))/266

x in { ((279857/4)^(1/2)+537/2)/266, (537/2-(279857/4)^(1/2))/266 }

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