6x^2-97=3.2x^2-38

Solution for 6x^2-97=3.2x^2-38 equation:

6x^2-97=3.2x^2-38

We move all terms to the left:

6x^2-97-(3.2x^2-38)=0

We get rid of parentheses

6x^2-3.2x^2+38-97=0

We add all the numbers together, and all the variables

2.8x^2-59=0

a = 2.8; b = 0; c = -59;
Δ = b2-4ac
Δ = 02-4·2.8·(-59)
Δ = 660.8
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{660.8}}{2*2.8}=\frac{0-\sqrt{660.8}}{5.6}
=-\frac{\sqrt{}}{5.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{660.8}}{2*2.8}=\frac{0+\sqrt{660.8}}{5.6}
=\frac{\sqrt{}}{5.6}
$