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x^2-4x-21/14-2x=0
We add all the numbers together, and all the variables
x^2-6x-21/14=0
We multiply all the terms by the denominator
x^2*14-6x*14-21=0
Wy multiply elements
14x^2-84x-21=0
a = 14; b = -84; c = -21;
Δ = b2-4ac
Δ = -842-4·14·(-21)
Δ = 8232
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{8232}=\sqrt{196*42}=\sqrt{196}*\sqrt{42}=14\sqrt{42}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-14\sqrt{42}}{2*14}=\frac{84-14\sqrt{42}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+14\sqrt{42}}{2*14}=\frac{84+14\sqrt{42}}{28} $
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