4(2x-1)(3-5x)=3/4-3x

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Solution for 4(2x-1)(3-5x)=3/4-3x equation:


x in (-oo:+oo)

4*(2*x-1)*(3-(5*x)) = 3/4-(3*x) // - 3/4-(3*x)

4*(2*x-1)*(3-(5*x))+3*x-(3/4) = 0

4*(2*x-1)*(3-5*x)+3*x-3/4 = 0

(4^2*(2*x-1)*(3-5*x))/4+(3*4*x)/4-3/4 = 0

4^2*(2*x-1)*(3-5*x)+3*4*x-3 = 0

188*x-160*x^2-48-3 = 0

188*x-160*x^2-51 = 0

188*x-160*x^2-51 = 0

188*x-160*x^2-51 = 0

DELTA = 188^2-(-160*(-51)*4)

DELTA = 2704

DELTA > 0

x = (2704^(1/2)-188)/(-160*2) or x = (-2704^(1/2)-188)/(-160*2)

x = 17/40 or x = 3/4

(x-17/40)*(x-3/4) = 0

((x-17/40)*(x-3/4))/4 = 0

((x-17/40)*(x-3/4))/4 = 0 // * 4

(x-17/40)*(x-3/4) = 0

( x-17/40 )

x-17/40 = 0 // + 17/40

x = 17/40

( x-3/4 )

x-3/4 = 0 // + 3/4

x = 3/4

x in { 17/40, 3/4 }

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