-3/5x-7/10+1/2x=-56

Solution for -3/5x-7/10+1/2x=-56 equation:

-3/5x-7/10+1/2x=-56

We move all terms to the left:

-3/5x-7/10+1/2x-(-56)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-3/5x+1/2x+56-7/10=0

We calculate fractions


(-140x^2)/100x^2+(-60x)/100x^2+50x/100x^2+56=0

We multiply all the terms by the denominator


(-140x^2)+(-60x)+50x+56*100x^2=0

We add all the numbers together, and all the variables

(-140x^2)+50x+(-60x)+56*100x^2=0

Wy multiply elements

(-140x^2)+5600x^2+50x+(-60x)=0

We get rid of parentheses

-140x^2+5600x^2+50x-60x=0

We add all the numbers together, and all the variables

5460x^2-10x=0

a = 5460; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·5460·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*5460}=\frac{0}{10920}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*5460}=\frac{20}{10920}
=1/546
$