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(5x+12)(7x)=180
We move all terms to the left:
(5x+12)(7x)-(180)=0
We multiply parentheses
35x^2+84x-180=0
a = 35; b = 84; c = -180;
Δ = b2-4ac
Δ = 842-4·35·(-180)
Δ = 32256
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{32256}=\sqrt{2304*14}=\sqrt{2304}*\sqrt{14}=48\sqrt{14}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-48\sqrt{14}}{2*35}=\frac{-84-48\sqrt{14}}{70} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+48\sqrt{14}}{2*35}=\frac{-84+48\sqrt{14}}{70} $
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