1.4x^2=0.9x^2+24.1

Solution for 1.4x^2=0.9x^2+24.1 equation:

1.4x^2=0.9x^2+24.1

We move all terms to the left:

1.4x^2-(0.9x^2+24.1)=0

We get rid of parentheses

1.4x^2-0.9x^2-24.1=0

We add all the numbers together, and all the variables

0.5x^2-24.1=0

a = 0.5; b = 0; c = -24.1;
Δ = b2-4ac
Δ = 02-4·0.5·(-24.1)
Δ = 48.2
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{48.2}}{2*0.5}=\frac{0-\sqrt{48.2}}{1}
=-\frac{\sqrt{}}{1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{48.2}}{2*0.5}=\frac{0+\sqrt{48.2}}{1}
=\frac{\sqrt{}}{1}
$