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6x*6x+7x=2
We move all terms to the left:
6x*6x+7x-(2)=0
We add all the numbers together, and all the variables
7x+6x*6x-2=0
Wy multiply elements
36x^2+7x-2=0
a = 36; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·36·(-2)
Δ = 337
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{337}}{2*36}=\frac{-7-\sqrt{337}}{72} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{337}}{2*36}=\frac{-7+\sqrt{337}}{72} $
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