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9x^2-2=-4x+5.8
We move all terms to the left:
9x^2-2-(-4x+5.8)=0
We get rid of parentheses
9x^2+4x-5.8-2=0
We add all the numbers together, and all the variables
9x^2+4x-7.8=0
a = 9; b = 4; c = -7.8;
Δ = b2-4ac
Δ = 42-4·9·(-7.8)
Δ = 296.8
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{-(4)-\sqrt{296.8}}{2*9}=\frac{-4-\sqrt{296.8}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+\sqrt{296.8}}{2*9}=\frac{-4+\sqrt{296.8}}{18} $
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