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(10x+30)(1.5-0.3x)=0
We add all the numbers together, and all the variables
(10x+30)(-0.3x+1.5)=0
We multiply parentheses ..
(+0x^2+15x+0x+45)=0
We get rid of parentheses
0x^2+15x+0x+45=0
We add all the numbers together, and all the variables
x^2+16x+45=0
a = 1; b = 16; c = +45;
Δ = b2-4ac
Δ = 162-4·1·45
Δ = 76
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{76}=\sqrt{4*19}=\sqrt{4}*\sqrt{19}=2\sqrt{19}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{19}}{2*1}=\frac{-16-2\sqrt{19}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{19}}{2*1}=\frac{-16+2\sqrt{19}}{2} $
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