7x^2-97=3.2x^2-38

Solution for 7x^2-97=3.2x^2-38 equation:

7x^2-97=3.2x^2-38

We move all terms to the left:

7x^2-97-(3.2x^2-38)=0

We get rid of parentheses

7x^2-3.2x^2+38-97=0

We add all the numbers together, and all the variables

3.8x^2-59=0

a = 3.8; b = 0; c = -59;
Δ = b2-4ac
Δ = 02-4·3.8·(-59)
Δ = 896.8
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{896.8}}{2*3.8}=\frac{0-\sqrt{896.8}}{7.6}
=-\frac{\sqrt{}}{7.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{896.8}}{2*3.8}=\frac{0+\sqrt{896.8}}{7.6}
=\frac{\sqrt{}}{7.6}
$