0=x*(10x-7)-23

Solution for 0=x*(10x-7)-23 equation:

0=x(10x-7)-23

We move all terms to the left:

0-(x(10x-7)-23)=0

We add all the numbers together, and all the variables

-(x(10x-7)-23)=0


We calculate terms in parentheses: -(x(10x-7)-23), so:

x(10x-7)-23

We multiply parentheses

10x^2-7x-23

Back to the equation:

-(10x^2-7x-23)


We get rid of parentheses

-10x^2+7x+23=0

a = -10; b = 7; c = +23;
Δ = b2-4ac
Δ = 72-4·(-10)·23
Δ = 969
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{-(7)-\sqrt{969}}{2*-10}=\frac{-7-\sqrt{969}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{969}}{2*-10}=\frac{-7+\sqrt{969}}{-20}
$