2x^2+34x+144x=0

Solution for 2x^2+34x+144x=0 equation:

2x^2+34x+144x=0

We add all the numbers together, and all the variables

2x^2+178x=0

a = 2; b = 178; c = 0;
Δ = b2-4ac
Δ = 1782-4·2·0
Δ = 31684
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{31684}=178$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(178)-178}{2*2}=\frac{-356}{4}
=-89
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(178)+178}{2*2}=\frac{0}{4}
=0
$