-14x-4=-7-918x/2x

Solution for -14x-4=-7-918x/2x equation:

-14x-4=-7-918x/2x

We move all terms to the left:

-14x-4-(-7-918x/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

-14x-(-918x/2x-7)-4=0

We get rid of parentheses

-14x+918x/2x+7-4=0

We multiply all the terms by the denominator


-14x*2x+918x+7*2x-4*2x=0

We add all the numbers together, and all the variables

918x-14x*2x+7*2x-4*2x=0

Wy multiply elements

-28x^2+918x+14x-8x=0

We add all the numbers together, and all the variables

-28x^2+924x=0

a = -28; b = 924; c = 0;
Δ = b2-4ac
Δ = 9242-4·(-28)·0
Δ = 853776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{853776}=924$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(924)-924}{2*-28}=\frac{-1848}{-56}
=+33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(924)+924}{2*-28}=\frac{0}{-56}
=0
$