3x(5x+2)29=0

Solution for 3x(5x+2)29=0 equation:

3x(5x+2)29=0

We multiply parentheses

435x^2+174x=0

a = 435; b = 174; c = 0;
Δ = b2-4ac
Δ = 1742-4·435·0
Δ = 30276
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30276}=174$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(174)-174}{2*435}=\frac{-348}{870}
=-2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(174)+174}{2*435}=\frac{0}{870}
=0
$