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0.75x(0.98x)=0.88x
We move all terms to the left:
0.75x(0.98x)-(0.88x)=0
We add all the numbers together, and all the variables
0.75x(+0.98x)-(+0.88x)=0
We multiply parentheses
0x^2-(+0.88x)=0
We get rid of parentheses
0x^2-0.88x=0
We add all the numbers together, and all the variables
x^2-0.88x=0
a = 1; b = -0.88; c = 0;
Δ = b2-4ac
Δ = -0.882-4·1·0
Δ = 0.7744
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.88)-\sqrt{0.7744}}{2*1}=\frac{0.88-\sqrt{0.7744}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.88)+\sqrt{0.7744}}{2*1}=\frac{0.88+\sqrt{0.7744}}{2} $
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