3x*x+50=5x*x

Solution for 3x*x+50=5x*x equation:

3x*x+50=5x*x

We move all terms to the left:

3x*x+50-(5x*x)=0

We add all the numbers together, and all the variables

3x*x-(+5x*x)+50=0

Wy multiply elements

3x^2-(+5x*x)+50=0

We get rid of parentheses

3x^2-5x*x+50=0

Wy multiply elements

3x^2-5x^2+50=0

We add all the numbers together, and all the variables

-2x^2+50=0

a = -2; b = 0; c = +50;
Δ = b2-4ac
Δ = 02-4·(-2)·50
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-2}=\frac{-20}{-4}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-2}=\frac{20}{-4}
=-5
$