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7x(x+6)=x*8+x*6
We move all terms to the left:
7x(x+6)-(x*8+x*6)=0
We add all the numbers together, and all the variables
7x(x+6)-(+x*8+x*6)=0
We multiply parentheses
7x^2+42x-(+x*8+x*6)=0
We get rid of parentheses
7x^2+42x-x*8-x*6=0
Wy multiply elements
7x^2+42x-8x-6x=0
We add all the numbers together, and all the variables
7x^2+28x=0
a = 7; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·7·0
Δ = 784
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{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*7}=\frac{-56}{14} =-4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*7}=\frac{0}{14} =0 $
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