X=26x2-14x

Solution for X=26x2-14x equation:

X=26X^2-14X

We move all terms to the left:

X-(26X^2-14X)=0

We get rid of parentheses

-26X^2+X+14X=0

We add all the numbers together, and all the variables

-26X^2+15X=0

a = -26; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-26)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-26}=\frac{-30}{-52}
=15/26
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-26}=\frac{0}{-52}
=0
$