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4(x+9)(x-10)=0
We multiply parentheses ..
4(+x^2-10x+9x-90)=0
We multiply parentheses
4x^2-40x+36x-360=0
We add all the numbers together, and all the variables
4x^2-4x-360=0
a = 4; b = -4; c = -360;
Δ = b2-4ac
Δ = -42-4·4·(-360)
Δ = 5776
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{5776}=76$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*4}=\frac{-72}{8} =-9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*4}=\frac{80}{8} =10 $
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