0.7x^2=3x^2-5.5

Solution for 0.7x^2=3x^2-5.5 equation:

0.7x^2=3x^2-5.5

We move all terms to the left:

0.7x^2-(3x^2-5.5)=0

We get rid of parentheses

0.7x^2-3x^2+5.5=0

We add all the numbers together, and all the variables

-2.3x^2+5.5=0

a = -2.3; b = 0; c = +5.5;
Δ = b2-4ac
Δ = 02-4·(-2.3)·5.5
Δ = 50.6
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{50.6}}{2*-2.3}=\frac{0-\sqrt{50.6}}{-4.6}
=-\frac{\sqrt{}}{-4.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{50.6}}{2*-2.3}=\frac{0+\sqrt{50.6}}{-4.6}
=\frac{\sqrt{}}{-4.6}
$