0=(0.3-x)(0.4-x)

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Solution for 0=(0.3-x)(0.4-x) equation:



0=(0.3-x)(0.4-x)
We move all terms to the left:
0-((0.3-x)(0.4-x))=0
We add all the numbers together, and all the variables
-((-1x+0.3)(-1x+0.4))+0=0
We add all the numbers together, and all the variables
-((-1x+0.3)(-1x+0.4))=0
We multiply parentheses ..
-((+x^2-0.4x-0.3x+0.12))=0
We calculate terms in parentheses: -((+x^2-0.4x-0.3x+0.12)), so:
(+x^2-0.4x-0.3x+0.12)
We get rid of parentheses
x^2-0.4x-0.3x+0.12
We add all the numbers together, and all the variables
x^2-0.7x+0.12
Back to the equation:
-(x^2-0.7x+0.12)
We get rid of parentheses
-x^2+0.7x-0.12=0
We add all the numbers together, and all the variables
-1x^2+0.7x-0.12=0
a = -1; b = 0.7; c = -0.12;
Δ = b2-4ac
Δ = 0.72-4·(-1)·(-0.12)
Δ = 0.01
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{-(0.7)-\sqrt{0.01}}{2*-1}=\frac{-0.7-\sqrt{0.01}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.7)+\sqrt{0.01}}{2*-1}=\frac{-0.7+\sqrt{0.01}}{-2} $

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