1.5=(x2/0.007-x)

Solution for 1.5=(x2/0.007-x) equation:

1.5=(x2/0.007-x)

We move all terms to the left:

1.5-((x2/0.007-x))=0


Domain of the equation: 0.007-x))!=0

We move all terms containing x to the left, all other terms to the right

-x))!=-0.007

x!=-0.007/1

x!=-0.007

x∈R


We add all the numbers together, and all the variables

-((-1x+x2/0.007))+1.5=0

We multiply all the terms by the denominator


-((-1x+x2+(1.5)*0.007))=0


We calculate terms in parentheses: -((-1x+x2+(1.5)*0.007)), so:

(-1x+x2+(1.5)*0.007)


We calculate terms in parentheses: +(-1x+x2+(1.5)*0.007), so:

-1x+x2+(1.5)*0.007

We add all the numbers together, and all the variables

x^2-1x+0.0105

Back to the equation:

+(x^2-1x+0.0105)


We get rid of parentheses

x^2-1x+0.0105

Back to the equation:

-(x^2-1x+0.0105)


We get rid of parentheses

-x^2+1x-0.0105=0

We add all the numbers together, and all the variables

-1x^2+x-0.0105=0

a = -1; b = 1; c = -0.0105;
Δ = b2-4ac
Δ = 12-4·(-1)·(-0.0105)
Δ = 0.958
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{-(1)-\sqrt{0.958}}{2*-1}=\frac{-1-\sqrt{0.958}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{0.958}}{2*-1}=\frac{-1+\sqrt{0.958}}{-2}
$