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(25+2x)(40+2x)=1000
We move all terms to the left:
(25+2x)(40+2x)-(1000)=0
We add all the numbers together, and all the variables
(2x+25)(2x+40)-1000=0
We multiply parentheses ..
(+4x^2+80x+50x+1000)-1000=0
We get rid of parentheses
4x^2+80x+50x+1000-1000=0
We add all the numbers together, and all the variables
4x^2+130x=0
a = 4; b = 130; c = 0;
Δ = b2-4ac
Δ = 1302-4·4·0
Δ = 16900
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{16900}=130$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(130)-130}{2*4}=\frac{-260}{8} =-32+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+130}{2*4}=\frac{0}{8} =0 $
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