16a2-14a=a2-3a

Solution for 16a2-14a=a2-3a equation:

16a^2-14a=a2-3a

We move all terms to the left:

16a^2-14a-(a2-3a)=0

We add all the numbers together, and all the variables

16a^2-(+a^2-3a)-14a=0

We get rid of parentheses

16a^2-a^2+3a-14a=0

We add all the numbers together, and all the variables

15a^2-11a=0

a = 15; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·15·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*15}=\frac{0}{30}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*15}=\frac{22}{30}
=11/15
$