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-5x(x+9)53=15-6x
We move all terms to the left:
-5x(x+9)53-(15-6x)=0
We add all the numbers together, and all the variables
-5x(x+9)53-(-6x+15)=0
We multiply parentheses
-265x^2-2385x-(-6x+15)=0
We get rid of parentheses
-265x^2-2385x+6x-15=0
We add all the numbers together, and all the variables
-265x^2-2379x-15=0
a = -265; b = -2379; c = -15;
Δ = b2-4ac
Δ = -23792-4·(-265)·(-15)
Δ = 5643741
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{-(-2379)-\sqrt{5643741}}{2*-265}=\frac{2379-\sqrt{5643741}}{-530} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2379)+\sqrt{5643741}}{2*-265}=\frac{2379+\sqrt{5643741}}{-530} $
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