3.33=(x*x)-7x

Solution for 3.33=(x*x)-7x equation:

3.33=(x*x)-7x

We move all terms to the left:

3.33-((x*x)-7x)=0

We add all the numbers together, and all the variables

-((+x*x)-7x)+3.33=0


We calculate terms in parentheses: -((+x*x)-7x), so:

(+x*x)-7x

We add all the numbers together, and all the variables

-7x+(+x*x)

We get rid of parentheses

-7x+x*x

Wy multiply elements

x^2-7x

Back to the equation:

-(x^2-7x)


We get rid of parentheses

-x^2+7x+3.33=0

We add all the numbers together, and all the variables

-1x^2+7x+3.33=0

a = -1; b = 7; c = +3.33;
Δ = b2-4ac
Δ = 72-4·(-1)·3.33
Δ = 62.32
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{62.32}}{2*-1}=\frac{-7-\sqrt{62.32}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{62.32}}{2*-1}=\frac{-7+\sqrt{62.32}}{-2}
$