9.6*10^-31x=(0.675-x)(0.472-x)

Solution for 9.6*10^-31x=(0.675-x)(0.472-x) equation:

9.6*10^-31x=(0.675-x)(0.472-x)

We move all terms to the left:

9.6*10^-31x-((0.675-x)(0.472-x))=0

We add all the numbers together, and all the variables

-31x-((-1x+0.675)(-1x+0.472))+9.6*10^=0

We add all the numbers together, and all the variables

-31x-((-1x+0.675)(-1x+0.472))=0

We multiply parentheses ..

-((+x^2-0.472x-0.675x+0.3186))-31x=0


We calculate terms in parentheses: -((+x^2-0.472x-0.675x+0.3186)), so:

(+x^2-0.472x-0.675x+0.3186)

We get rid of parentheses

x^2-0.472x-0.675x+0.3186

We add all the numbers together, and all the variables

x^2-1.147x+0.3186

Back to the equation:

-(x^2-1.147x+0.3186)


We add all the numbers together, and all the variables

-31x-(x^2-1.147x+0.3186)=0

We get rid of parentheses

-x^2-31x+1.147x-0.3186=0

We add all the numbers together, and all the variables

-1x^2-29.853x-0.3186=0

a = -1; b = -29.853; c = -0.3186;
Δ = b2-4ac
Δ = -29.8532-4·(-1)·(-0.3186)
Δ = 889.927209
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{-(-29.853)-\sqrt{889.927209}}{2*-1}=\frac{29.853-\sqrt{889.927209}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29.853)+\sqrt{889.927209}}{2*-1}=\frac{29.853+\sqrt{889.927209}}{-2}
$