(X^2)-1.4x=-0.24

Solution for (X^2)-1.4x=-0.24 equation:

(X^2)-1.4X=-0.24

We move all terms to the left:

(X^2)-1.4X-(-0.24)=0

We add all the numbers together, and all the variables

X^2-1.4X+0.24=0

a = 1; b = -1.4; c = +0.24;
Δ = b2-4ac
Δ = -1.42-4·1·0.24
Δ = 1
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{-(-1.4)-\sqrt{1}}{2*1}=\frac{1.4-\sqrt{1}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.4)+\sqrt{1}}{2*1}=\frac{1.4+\sqrt{1}}{2}
$