-7x+2x=-5(x+1/2)

Solution for -7x+2x=-5(x+1/2) equation:

-7x+2x=-5(x+1/2)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

-5x-(-5(+x+1/2))=0

We multiply all the terms by the denominator


-5x*2))-(-5(+x+1=0

We add all the numbers together, and all the variables

x-5x*2))-(-5(+1=0

Wy multiply elements

-10x^2+x+1=0

a = -10; b = 1; c = +1;
Δ = b2-4ac
Δ = 12-4·(-10)·1
Δ = 41
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{41}}{2*-10}=\frac{-1-\sqrt{41}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{41}}{2*-10}=\frac{-1+\sqrt{41}}{-20}
$