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(7.6-x)(6.8-x)=0
We add all the numbers together, and all the variables
(-1x+7.6)(-1x+6.8)=0
We multiply parentheses ..
(+x^2-6.8x-7.6x+51.68)=0
We get rid of parentheses
x^2-6.8x-7.6x+51.68=0
We add all the numbers together, and all the variables
x^2-14.4x+51.68=0
a = 1; b = -14.4; c = +51.68;
Δ = b2-4ac
Δ = -14.42-4·1·51.68
Δ = 0.64000000000001
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{-(-14.4)-\sqrt{0.64000000000001}}{2*1}=\frac{14.4-\sqrt{0.64000000000001}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14.4)+\sqrt{0.64000000000001}}{2*1}=\frac{14.4+\sqrt{0.64000000000001}}{2} $
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