(1/2+7)x=12

Solution for (1/2+7)x=12 equation:

(1/2+7)x=12

We move all terms to the left:

(1/2+7)x-(12)=0


Domain of the equation: 2+7)x!=0

We move all terms containing x to the left, all other terms to the right

7)x!=-2

x!=-2/1

x!=-2

x∈R


We multiply parentheses

x^2+7x-12=0

a = 1; b = 7; c = -12;
Δ = b2-4ac
Δ = 72-4·1·(-12)
Δ = 97
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{-(7)-\sqrt{97}}{2*1}=\frac{-7-\sqrt{97}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{97}}{2*1}=\frac{-7+\sqrt{97}}{2}
$