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4x(30+2x)=0
We add all the numbers together, and all the variables
4x(2x+30)=0
We multiply parentheses
8x^2+120x=0
a = 8; b = 120; c = 0;
Δ = b2-4ac
Δ = 1202-4·8·0
Δ = 14400
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{14400}=120$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-120}{2*8}=\frac{-240}{16} =-15 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+120}{2*8}=\frac{0}{16} =0 $
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