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-4.9x^2+x+360=-4x+142
We move all terms to the left:
-4.9x^2+x+360-(-4x+142)=0
We get rid of parentheses
-4.9x^2+x+4x-142+360=0
We add all the numbers together, and all the variables
-4.9x^2+5x+218=0
a = -4.9; b = 5; c = +218;
Δ = b2-4ac
Δ = 52-4·(-4.9)·218
Δ = 4297.8
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{-(5)-\sqrt{4297.8}}{2*-4.9}=\frac{-5-\sqrt{4297.8}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{4297.8}}{2*-4.9}=\frac{-5+\sqrt{4297.8}}{-9.8} $
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