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(7x+2)(25x-4)=180
We move all terms to the left:
(7x+2)(25x-4)-(180)=0
We multiply parentheses ..
(+175x^2-28x+50x-8)-180=0
We get rid of parentheses
175x^2-28x+50x-8-180=0
We add all the numbers together, and all the variables
175x^2+22x-188=0
a = 175; b = 22; c = -188;
Δ = b2-4ac
Δ = 222-4·175·(-188)
Δ = 132084
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{132084}=\sqrt{36*3669}=\sqrt{36}*\sqrt{3669}=6\sqrt{3669}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-6\sqrt{3669}}{2*175}=\frac{-22-6\sqrt{3669}}{350} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+6\sqrt{3669}}{2*175}=\frac{-22+6\sqrt{3669}}{350} $
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