4x^2=15.8-1.5x^2

Solution for 4x^2=15.8-1.5x^2 equation:

4x^2=15.8-1.5x^2

We move all terms to the left:

4x^2-(15.8-1.5x^2)=0

We get rid of parentheses

4x^2+1.5x^2-15.8=0

We add all the numbers together, and all the variables

5.5x^2-15.8=0

a = 5.5; b = 0; c = -15.8;
Δ = b2-4ac
Δ = 02-4·5.5·(-15.8)
Δ = 347.6
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{347.6}}{2*5.5}=\frac{0-\sqrt{347.6}}{11}
=-\frac{\sqrt{}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{347.6}}{2*5.5}=\frac{0+\sqrt{347.6}}{11}
=\frac{\sqrt{}}{11}
$