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x(6-5x)=-351
We move all terms to the left:
x(6-5x)-(-351)=0
We add all the numbers together, and all the variables
x(-5x+6)-(-351)=0
We add all the numbers together, and all the variables
x(-5x+6)+351=0
We multiply parentheses
-5x^2+6x+351=0
a = -5; b = 6; c = +351;
Δ = b2-4ac
Δ = 62-4·(-5)·351
Δ = 7056
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{7056}=84$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-84}{2*-5}=\frac{-90}{-10} =+9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+84}{2*-5}=\frac{78}{-10} =-7+4/5 $
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