0.7x^2=6x^2-9.6

Solution for 0.7x^2=6x^2-9.6 equation:

0.7x^2=6x^2-9.6

We move all terms to the left:

0.7x^2-(6x^2-9.6)=0

We get rid of parentheses

0.7x^2-6x^2+9.6=0

We add all the numbers together, and all the variables

-5.3x^2+9.6=0

a = -5.3; b = 0; c = +9.6;
Δ = b2-4ac
Δ = 02-4·(-5.3)·9.6
Δ = 203.52
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{203.52}}{2*-5.3}=\frac{0-\sqrt{203.52}}{-10.6}
=-\frac{\sqrt{}}{-10.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{203.52}}{2*-5.3}=\frac{0+\sqrt{203.52}}{-10.6}
=\frac{\sqrt{}}{-10.6}
$