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7x(9-4x)=x
We move all terms to the left:
7x(9-4x)-(x)=0
We add all the numbers together, and all the variables
7x(-4x+9)-x=0
We add all the numbers together, and all the variables
-1x+7x(-4x+9)=0
We multiply parentheses
-28x^2-1x+63x=0
We add all the numbers together, and all the variables
-28x^2+62x=0
a = -28; b = 62; c = 0;
Δ = b2-4ac
Δ = 622-4·(-28)·0
Δ = 3844
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{3844}=62$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(62)-62}{2*-28}=\frac{-124}{-56} =2+3/14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(62)+62}{2*-28}=\frac{0}{-56} =0 $
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