9.38=(0.7+2x)*(0.3+2x)

Solution for 9.38=(0.7+2x)*(0.3+2x) equation:

9.38=(0.7+2x)(0.3+2x)

We move all terms to the left:

9.38-((0.7+2x)(0.3+2x))=0

We add all the numbers together, and all the variables

-((2x+0.7)(2x+0.3))+9.38=0

We multiply parentheses ..

-((+4x^2+0.6x+1.4x+0.21))+9.38=0


We calculate terms in parentheses: -((+4x^2+0.6x+1.4x+0.21)), so:

(+4x^2+0.6x+1.4x+0.21)

We get rid of parentheses

4x^2+0.6x+1.4x+0.21

We add all the numbers together, and all the variables

4x^2+2x+0.21

Back to the equation:

-(4x^2+2x+0.21)


We get rid of parentheses

-4x^2-2x-0.21+9.38=0

We add all the numbers together, and all the variables

-4x^2-2x+9.17=0

a = -4; b = -2; c = +9.17;
Δ = b2-4ac
Δ = -22-4·(-4)·9.17
Δ = 150.72
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{-(-2)-\sqrt{150.72}}{2*-4}=\frac{2-\sqrt{150.72}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{150.72}}{2*-4}=\frac{2+\sqrt{150.72}}{-8}
$