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(x-3.5)(1.5x-18.75)=0
We multiply parentheses ..
(+x^2-18.75x-3.5x+65.625)=0
We get rid of parentheses
x^2-18.75x-3.5x+65.625=0
We add all the numbers together, and all the variables
x^2-22.25x+65.625=0
a = 1; b = -22.25; c = +65.625;
Δ = b2-4ac
Δ = -22.252-4·1·65.625
Δ = 232.5625
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{-(-22.25)-\sqrt{232.5625}}{2*1}=\frac{22.25-\sqrt{232.5625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22.25)+\sqrt{232.5625}}{2*1}=\frac{22.25+\sqrt{232.5625}}{2} $
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