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))+535=0


We calculate terms in parentheses: -(x(+x*4)), so:

x(+x*4)

We multiply parentheses

4x^2

Back to the equation:

-(4x^2)


a = -4; b = 0; c = +535;
Δ = b2-4ac
Δ = 02-4·(-4)·535
Δ = 8560
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:

$\sqrt{\Delta}=\sqrt{8560}=\sqrt{16*535}=\sqrt{16}*\sqrt{535}=4\sqrt{535}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{535}}{2*-4}=\frac{0-4\sqrt{535}}{-8}
=-\frac{4\sqrt{535}}{-8}
=-\frac{\sqrt{535}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{535}}{2*-4}=\frac{0+4\sqrt{535}}{-8}
=\frac{4\sqrt{535}}{-8}
=\frac{\sqrt{535}}{-2}
$