600=(10x^2)/7

Solution for 600=(10x^2)/7 equation:

600=(10x^2)/7

We move all terms to the left:

600-((10x^2)/7)=0

We get rid of parentheses

-10x^2/7+600=0

We multiply all the terms by the denominator


-10x^2+600*7=0

We add all the numbers together, and all the variables

-10x^2+4200=0

a = -10; b = 0; c = +4200;
Δ = b2-4ac
Δ = 02-4·(-10)·4200
Δ = 168000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{168000}=\sqrt{1600*105}=\sqrt{1600}*\sqrt{105}=40\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{105}}{2*-10}=\frac{0-40\sqrt{105}}{-20}
=-\frac{40\sqrt{105}}{-20}
=-\frac{2\sqrt{105}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{105}}{2*-10}=\frac{0+40\sqrt{105}}{-20}
=\frac{40\sqrt{105}}{-20}
=\frac{2\sqrt{105}}{-1}
$