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(14x+21)(1.8-0.3x)=0
We add all the numbers together, and all the variables
(14x+21)(-0.3x+1.8)=0
We multiply parentheses ..
(+0x^2+25.2x+0x+37.8)=0
We get rid of parentheses
0x^2+25.2x+0x+37.8=0
We add all the numbers together, and all the variables
x^2+26.2x+37.8=0
a = 1; b = 26.2; c = +37.8;
Δ = b2-4ac
Δ = 26.22-4·1·37.8
Δ = 535.24
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{-(26.2)-\sqrt{535.24}}{2*1}=\frac{-26.2-\sqrt{535.24}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26.2)+\sqrt{535.24}}{2*1}=\frac{-26.2+\sqrt{535.24}}{2} $
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