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-4.9(x+3)(x-9)=0
We multiply parentheses ..
-4.9(+x^2-9x+3x-27)=0
We multiply parentheses
-4.9x^2+44.1x-14.7x+132.3=0
We add all the numbers together, and all the variables
-4.9x^2+29.4x+132.3=0
a = -4.9; b = 29.4; c = +132.3;
Δ = b2-4ac
Δ = 29.42-4·(-4.9)·132.3
Δ = 3457.44
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{-(29.4)-\sqrt{3457.44}}{2*-4.9}=\frac{-29.4-\sqrt{3457.44}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29.4)+\sqrt{3457.44}}{2*-4.9}=\frac{-29.4+\sqrt{3457.44}}{-9.8} $
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