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5(2x-1)(7x-2)=0
We multiply parentheses ..
5(+14x^2-4x-7x+2)=0
We multiply parentheses
70x^2-20x-35x+10=0
We add all the numbers together, and all the variables
70x^2-55x+10=0
a = 70; b = -55; c = +10;
Δ = b2-4ac
Δ = -552-4·70·10
Δ = 225
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{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-15}{2*70}=\frac{40}{140} =2/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+15}{2*70}=\frac{70}{140} =1/2 $
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