0.25(14x-6)=7/2x=15

Solution for 0.25(14x-6)=7/2x=15 equation:

0.25(14x-6)=7/2x=15

We move all terms to the left:

0.25(14x-6)-(7/2x)=0


Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

0.25(14x-6)-(+7/2x)=0

We multiply parentheses

3.5x-(+7/2x)-1.5=0

We get rid of parentheses

3.5x-7/2x-1.5=0

We multiply all the terms by the denominator


(3.5x)*2x-(1.5)*2x-7=0

We add all the numbers together, and all the variables

(+3.5x)*2x-(1.5)*2x-7=0

We multiply parentheses

6x^2-3x-7=0

a = 6; b = -3; c = -7;
Δ = b2-4ac
Δ = -32-4·6·(-7)
Δ = 177
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{-(-3)-\sqrt{177}}{2*6}=\frac{3-\sqrt{177}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{177}}{2*6}=\frac{3+\sqrt{177}}{12}
$