/2x+5x-11=-46

Solution for /2x+5x-11=-46 equation:

/2x+5x-11=-46

We move all terms to the left:

/2x+5x-11-(-46)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

5x+/2x+35=0

We multiply all the terms by the denominator


5x*2x+35*2x+=0

We add all the numbers together, and all the variables

5x*2x+35*2x=0

Wy multiply elements

10x^2+70x=0

a = 10; b = 70; c = 0;
Δ = b2-4ac
Δ = 702-4·10·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-70}{2*10}=\frac{-140}{20}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+70}{2*10}=\frac{0}{20}
=0
$