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(2x+10)(x-5)=90
We move all terms to the left:
(2x+10)(x-5)-(90)=0
We multiply parentheses ..
(+2x^2-10x+10x-50)-90=0
We get rid of parentheses
2x^2-10x+10x-50-90=0
We add all the numbers together, and all the variables
2x^2-140=0
a = 2; b = 0; c = -140;
Δ = b2-4ac
Δ = 02-4·2·(-140)
Δ = 1120
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1120}=\sqrt{16*70}=\sqrt{16}*\sqrt{70}=4\sqrt{70}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{70}}{2*2}=\frac{0-4\sqrt{70}}{4} =-\frac{4\sqrt{70}}{4} =-\sqrt{70} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{70}}{2*2}=\frac{0+4\sqrt{70}}{4} =\frac{4\sqrt{70}}{4} =\sqrt{70} $
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