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(2x+50)(4x+15)=180
We move all terms to the left:
(2x+50)(4x+15)-(180)=0
We multiply parentheses ..
(+8x^2+30x+200x+750)-180=0
We get rid of parentheses
8x^2+30x+200x+750-180=0
We add all the numbers together, and all the variables
8x^2+230x+570=0
a = 8; b = 230; c = +570;
Δ = b2-4ac
Δ = 2302-4·8·570
Δ = 34660
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{34660}=\sqrt{4*8665}=\sqrt{4}*\sqrt{8665}=2\sqrt{8665}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(230)-2\sqrt{8665}}{2*8}=\frac{-230-2\sqrt{8665}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(230)+2\sqrt{8665}}{2*8}=\frac{-230+2\sqrt{8665}}{16} $
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