7a-2=4a^2

Solution for 7a-2=4a^2 equation:

7a-2=4a^2

We move all terms to the left:

7a-2-(4a^2)=0

determiningTheFunctionDomain
-4a^2+7a-2=0

a = -4; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·(-4)·(-2)
Δ = 17
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{17}}{2*-4}=\frac{-7-\sqrt{17}}{-8}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{17}}{2*-4}=\frac{-7+\sqrt{17}}{-8}
$