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-4x(-21-5x)=6
We move all terms to the left:
-4x(-21-5x)-(6)=0
We add all the numbers together, and all the variables
-4x(-5x-21)-6=0
We multiply parentheses
20x^2+84x-6=0
a = 20; b = 84; c = -6;
Δ = b2-4ac
Δ = 842-4·20·(-6)
Δ = 7536
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7536}=\sqrt{16*471}=\sqrt{16}*\sqrt{471}=4\sqrt{471}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-4\sqrt{471}}{2*20}=\frac{-84-4\sqrt{471}}{40} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+4\sqrt{471}}{2*20}=\frac{-84+4\sqrt{471}}{40} $
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