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-7x-8x(-x+7)=-16+7x
We move all terms to the left:
-7x-8x(-x+7)-(-16+7x)=0
We add all the numbers together, and all the variables
-7x-8x(-1x+7)-(7x-16)=0
We multiply parentheses
8x^2-7x-56x-(7x-16)=0
We get rid of parentheses
8x^2-7x-56x-7x+16=0
We add all the numbers together, and all the variables
8x^2-70x+16=0
a = 8; b = -70; c = +16;
Δ = b2-4ac
Δ = -702-4·8·16
Δ = 4388
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4388}=\sqrt{4*1097}=\sqrt{4}*\sqrt{1097}=2\sqrt{1097}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-2\sqrt{1097}}{2*8}=\frac{70-2\sqrt{1097}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+2\sqrt{1097}}{2*8}=\frac{70+2\sqrt{1097}}{16} $
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