144=100x-16x^2

Solution for 144=100x-16x^2 equation:

144=100x-16x^2

We move all terms to the left:

144-(100x-16x^2)=0

We get rid of parentheses

16x^2-100x+144=0

a = 16; b = -100; c = +144;
Δ = b2-4ac
Δ = -1002-4·16·144
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-28}{2*16}=\frac{72}{32}
=2+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+28}{2*16}=\frac{128}{32}
=4
$