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3x(x+30)=2x
We move all terms to the left:
3x(x+30)-(2x)=0
We add all the numbers together, and all the variables
-2x+3x(x+30)=0
We multiply parentheses
3x^2-2x+90x=0
We add all the numbers together, and all the variables
3x^2+88x=0
a = 3; b = 88; c = 0;
Δ = b2-4ac
Δ = 882-4·3·0
Δ = 7744
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{7744}=88$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-88}{2*3}=\frac{-176}{6} =-29+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+88}{2*3}=\frac{0}{6} =0 $
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