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(14x+2)(5x-1)=180
We move all terms to the left:
(14x+2)(5x-1)-(180)=0
We multiply parentheses ..
(+70x^2-14x+10x-2)-180=0
We get rid of parentheses
70x^2-14x+10x-2-180=0
We add all the numbers together, and all the variables
70x^2-4x-182=0
a = 70; b = -4; c = -182;
Δ = b2-4ac
Δ = -42-4·70·(-182)
Δ = 50976
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{50976}=\sqrt{144*354}=\sqrt{144}*\sqrt{354}=12\sqrt{354}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-12\sqrt{354}}{2*70}=\frac{4-12\sqrt{354}}{140} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+12\sqrt{354}}{2*70}=\frac{4+12\sqrt{354}}{140} $
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