56x=64(x-1/4)

Solution for 56x=64(x-1/4) equation:

56x=64(x-1/4)

We move all terms to the left:

56x-(64(x-1/4))=0

We add all the numbers together, and all the variables

56x-(64(+x-1/4))=0

We multiply all the terms by the denominator


56x*4))-(64(+x-1=0

We add all the numbers together, and all the variables

x+56x*4))-(64(-1=0

Wy multiply elements

224x^2+x-1=0

a = 224; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·224·(-1)
Δ = 897
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{897}}{2*224}=\frac{-1-\sqrt{897}}{448}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{897}}{2*224}=\frac{-1+\sqrt{897}}{448}
$