1.5=-16x^2+136

Solution for 1.5=-16x^2+136 equation:

1.5=-16x^2+136

We move all terms to the left:

1.5-(-16x^2+136)=0

We get rid of parentheses

16x^2-136+1.5=0

We add all the numbers together, and all the variables

16x^2-134.5=0

a = 16; b = 0; c = -134.5;
Δ = b2-4ac
Δ = 02-4·16·(-134.5)
Δ = 8608
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:

$\sqrt{\Delta}=\sqrt{8608}=\sqrt{16*538}=\sqrt{16}*\sqrt{538}=4\sqrt{538}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{538}}{2*16}=\frac{0-4\sqrt{538}}{32}
=-\frac{4\sqrt{538}}{32}
=-\frac{\sqrt{538}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{538}}{2*16}=\frac{0+4\sqrt{538}}{32}
=\frac{4\sqrt{538}}{32}
=\frac{\sqrt{538}}{8}
$