15=-5/16(x-0)(x-16)

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Solution for 15=-5/16(x-0)(x-16) equation:


x in (-oo:+oo)

15 = (-5/16)*(x+0)*(x-16) // - (-5/16)*(x+0)*(x-16)

15-((-5/16)*(x+0)*(x-16)) = 0

(5/16)*x*(x-16)+15 = 0

5/16*x*(x-16)+15 = 0

5/16*x*(x-16)+15 = 0

5/16*x^2-5*x+15 = 0

5/16*x^2-5*x+15 = 0

5*(1/16*x^2-x+3) = 0

1/16*x^2-x+3 = 0

DELTA = (-1)^2-(1/16*3*4)

DELTA = 1/4

DELTA > 0

x = ((1/4)^(1/2)+1)/(1/16*2) or x = (1-(1/4)^(1/2))/(1/16*2)

x = 12 or x = 4

5*(x-4)*(x-12) = 0

5*(x-4)*(x-12) = 0

( x-12 )

x-12 = 0 // + 12

x = 12

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 12, 4 }

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