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(6x+8x)8x=(9+7)7
We move all terms to the left:
(6x+8x)8x-((9+7)7)=0
We add all the numbers together, and all the variables
(+14x)8x-(167)=0
We add all the numbers together, and all the variables
(+14x)8x-167=0
We multiply parentheses
112x^2-167=0
a = 112; b = 0; c = -167;
Δ = b2-4ac
Δ = 02-4·112·(-167)
Δ = 74816
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{74816}=\sqrt{64*1169}=\sqrt{64}*\sqrt{1169}=8\sqrt{1169}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{1169}}{2*112}=\frac{0-8\sqrt{1169}}{224} =-\frac{8\sqrt{1169}}{224} =-\frac{\sqrt{1169}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{1169}}{2*112}=\frac{0+8\sqrt{1169}}{224} =\frac{8\sqrt{1169}}{224} =\frac{\sqrt{1169}}{28} $
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