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6x^2-15x+2=2x^2=10x-4
We move all terms to the left:
6x^2-15x+2-(2x^2)=0
determiningTheFunctionDomain 6x^2-2x^2-15x+2=0
We add all the numbers together, and all the variables
4x^2-15x+2=0
a = 4; b = -15; c = +2;
Δ = b2-4ac
Δ = -152-4·4·2
Δ = 193
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{-(-15)-\sqrt{193}}{2*4}=\frac{15-\sqrt{193}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{193}}{2*4}=\frac{15+\sqrt{193}}{8} $
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