0.2x^2=6.3x^2-7.2

Solution for 0.2x^2=6.3x^2-7.2 equation:

0.2x^2=6.3x^2-7.2

We move all terms to the left:

0.2x^2-(6.3x^2-7.2)=0

We get rid of parentheses

0.2x^2-6.3x^2+7.2=0

We add all the numbers together, and all the variables

-6.1x^2+7.2=0

a = -6.1; b = 0; c = +7.2;
Δ = b2-4ac
Δ = 02-4·(-6.1)·7.2
Δ = 175.68
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{175.68}}{2*-6.1}=\frac{0-\sqrt{175.68}}{-12.2}
=-\frac{\sqrt{}}{-12.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{175.68}}{2*-6.1}=\frac{0+\sqrt{175.68}}{-12.2}
=\frac{\sqrt{}}{-12.2}
$