0.75+(x-3)x0.12=3.60

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Solution for 0.75+(x-3)x0.12=3.60 equation:



0.75+(x-3)x0.12=3.60
We move all terms to the left:
0.75+(x-3)x0.12-(3.60)=0
We add all the numbers together, and all the variables
(x-3)x0.12+0.75-(3.6)=0
We add all the numbers together, and all the variables
(x-3)x0.12-2.85=0
We multiply parentheses
x^2-3x-2.85=0
a = 1; b = -3; c = -2.85;
Δ = b2-4ac
Δ = -32-4·1·(-2.85)
Δ = 20.4
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{-(-3)-\sqrt{20.4}}{2*1}=\frac{3-\sqrt{20.4}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{20.4}}{2*1}=\frac{3+\sqrt{20.4}}{2} $

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