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-6.8(x-15)(x+38)=0.
We multiply parentheses ..
-6.8(+x^2+38x-15x-570)=0
We multiply parentheses
-6.8x^2-258.4x+102x+3876=0
We add all the numbers together, and all the variables
-6.8x^2-156.4x+3876=0
a = -6.8; b = -156.4; c = +3876;
Δ = b2-4ac
Δ = -156.42-4·(-6.8)·3876
Δ = 129888.16
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{-(-156.4)-\sqrt{129888.16}}{2*-6.8}=\frac{156.4-\sqrt{129888.16}}{-13.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156.4)+\sqrt{129888.16}}{2*-6.8}=\frac{156.4+\sqrt{129888.16}}{-13.6} $
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