(7x-6)(1/2)=11

Solution for (7x-6)(1/2)=11 equation:

(7x-6)(1/2)=11

We move all terms to the left:

(7x-6)(1/2)-(11)=0

We add all the numbers together, and all the variables

(7x-6)(+1/2)-11=0

We multiply parentheses ..

(+7x^2-6*1/2)-11=0

We multiply all the terms by the denominator


(+7x^2-6*1-11*2)=0

We get rid of parentheses

7x^2-6*1-11*2=0

We add all the numbers together, and all the variables

7x^2-28=0

a = 7; b = 0; c = -28;
Δ = b2-4ac
Δ = 02-4·7·(-28)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*7}=\frac{-28}{14}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*7}=\frac{28}{14}
=2
$