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5x(7-2.2x)=9-6x
We move all terms to the left:
5x(7-2.2x)-(9-6x)=0
We add all the numbers together, and all the variables
5x(-2.2x+7)-(-6x+9)=0
We multiply parentheses
-10x^2+35x-(-6x+9)=0
We get rid of parentheses
-10x^2+35x+6x-9=0
We add all the numbers together, and all the variables
-10x^2+41x-9=0
a = -10; b = 41; c = -9;
Δ = b2-4ac
Δ = 412-4·(-10)·(-9)
Δ = 1321
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{-(41)-\sqrt{1321}}{2*-10}=\frac{-41-\sqrt{1321}}{-20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+\sqrt{1321}}{2*-10}=\frac{-41+\sqrt{1321}}{-20} $
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