-9x^2-7=-155

Solution for -9x^2-7=-155 equation:

-9x^2-7=-155

We move all terms to the left:

-9x^2-7-(-155)=0

We add all the numbers together, and all the variables

-9x^2+148=0

a = -9; b = 0; c = +148;
Δ = b2-4ac
Δ = 02-4·(-9)·148
Δ = 5328
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5328}=\sqrt{144*37}=\sqrt{144}*\sqrt{37}=12\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{37}}{2*-9}=\frac{0-12\sqrt{37}}{-18}
=-\frac{12\sqrt{37}}{-18}
=-\frac{2\sqrt{37}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{37}}{2*-9}=\frac{0+12\sqrt{37}}{-18}
=\frac{12\sqrt{37}}{-18}
=\frac{2\sqrt{37}}{-3}
$