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x.0.2(7+2x)=0.4+1.4
We move all terms to the left:
x.0.2(7+2x)-(0.4+1.4)=0
We add all the numbers together, and all the variables
x.0.2(2x+7)-(1.8)=0
We add all the numbers together, and all the variables
x.0.2(2x+7)-1.8=0
We multiply parentheses
2x^2+7x-1.8=0
a = 2; b = 7; c = -1.8;
Δ = b2-4ac
Δ = 72-4·2·(-1.8)
Δ = 63.4
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{-(7)-\sqrt{63.4}}{2*2}=\frac{-7-\sqrt{63.4}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{63.4}}{2*2}=\frac{-7+\sqrt{63.4}}{4} $
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