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(0.3-x)(0.4-x)=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 get rid of parentheses
x^2-0.4x-0.3x+0.12=0
We add all the numbers together, and all the variables
x^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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