-2-7a^2=-149

Solution for -2-7a^2=-149 equation:

-2-7a^2=-149

We move all terms to the left:

-2-7a^2-(-149)=0

We add all the numbers together, and all the variables

-7a^2+147=0

a = -7; b = 0; c = +147;
Δ = b2-4ac
Δ = 02-4·(-7)·147
Δ = 4116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4116}=\sqrt{196*21}=\sqrt{196}*\sqrt{21}=14\sqrt{21}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{21}}{2*-7}=\frac{0-14\sqrt{21}}{-14}
=-\frac{14\sqrt{21}}{-14}
=-\frac{\sqrt{21}}{-1}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{21}}{2*-7}=\frac{0+14\sqrt{21}}{-14}
=\frac{14\sqrt{21}}{-14}
=\frac{\sqrt{21}}{-1}
$