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5(x*x)+74x+272=0
We add all the numbers together, and all the variables
5(+x*x)+74x+272=0
We add all the numbers together, and all the variables
74x+5(+x*x)+272=0
We multiply parentheses
5x^2+74x+272=0
a = 5; b = 74; c = +272;
Δ = b2-4ac
Δ = 742-4·5·272
Δ = 36
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{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(74)-6}{2*5}=\frac{-80}{10} =-8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(74)+6}{2*5}=\frac{-68}{10} =-6+4/5 $
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