0.25x(6x+1)=x+1.25

Solution for 0.25x(6x+1)=x+1.25 equation:

0.25x(6x+1)=x+1.25

We move all terms to the left:

0.25x(6x+1)-(x+1.25)=0

We multiply parentheses

0x^2+0x-(x+1.25)=0

We get rid of parentheses

0x^2+0x-x-1.25=0

We add all the numbers together, and all the variables

x^2-1.25=0

a = 1; b = 0; c = -1.25;
Δ = b2-4ac
Δ = 02-4·1·(-1.25)
Δ = 5
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{-(0)-\sqrt{5}}{2*1}=\frac{0-\sqrt{5}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{5}}{2*1}=\frac{0+\sqrt{5}}{2}
=\frac{\sqrt{}}{2}
$