-4(x+7)=-2(9-1/2x)

Solution for -4(x+7)=-2(9-1/2x) equation:

-4(x+7)=-2(9-1/2x)

We move all terms to the left:

-4(x+7)-(-2(9-1/2x))=0


Domain of the equation: 2x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-4(x+7)-(-2(-1/2x+9))=0

We multiply parentheses

-4x-(-2(-1/2x+9))-28=0

We multiply all the terms by the denominator


-4x*2x-28*2x-1+9))-(-2(+9))=0

We add all the numbers together, and all the variables

-4x*2x-28*2x-1+9))-(-29)=0

We add all the numbers together, and all the variables

-4x*2x-28*2x=0

Wy multiply elements

-8x^2-56x=0

a = -8; b = -56; c = 0;
Δ = b2-4ac
Δ = -562-4·(-8)·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-56}{2*-8}=\frac{0}{-16}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+56}{2*-8}=\frac{112}{-16}
=-7
$