5*5*7=x*x*4

Solution for 5*5*7=x*x*4 equation:

5*5*7=x*x*4

We move all terms to the left:

5*5*7-(x*x*4)=0

We add all the numbers together, and all the variables

-(+x*x*4)+5*5*7=0

We add all the numbers together, and all the variables

-(+x*x*4)+175=0

We get rid of parentheses

-x*x*4+175=0

Wy multiply elements

-4x^2*4+175=0

Wy multiply elements

-16x^2+175=0

a = -16; b = 0; c = +175;
Δ = b2-4ac
Δ = 02-4·(-16)·175
Δ = 11200
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:

$\sqrt{\Delta}=\sqrt{11200}=\sqrt{1600*7}=\sqrt{1600}*\sqrt{7}=40\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{7}}{2*-16}=\frac{0-40\sqrt{7}}{-32}
=-\frac{40\sqrt{7}}{-32}
=-\frac{5\sqrt{7}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{7}}{2*-16}=\frac{0+40\sqrt{7}}{-32}
=\frac{40\sqrt{7}}{-32}
=\frac{5\sqrt{7}}{-4}
$