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(5x/2x)+2x=180
We move all terms to the left:
(5x/2x)+2x-(180)=0
Domain of the equation: 2x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
(+5x/2x)+2x-180=0
We add all the numbers together, and all the variables
2x+(+5x/2x)-180=0
We get rid of parentheses
2x+5x/2x-180=0
We multiply all the terms by the denominator
2x*2x+5x-180*2x=0
We add all the numbers together, and all the variables
5x+2x*2x-180*2x=0
Wy multiply elements
4x^2+5x-360x=0
We add all the numbers together, and all the variables
4x^2-355x=0
a = 4; b = -355; c = 0;
Δ = b2-4ac
Δ = -3552-4·4·0
Δ = 126025
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{126025}=355$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-355)-355}{2*4}=\frac{0}{8} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-355)+355}{2*4}=\frac{710}{8} =88+3/4 $
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