x(3x+5=182)

Solution for x(3x+5=182) equation:

x(3x+5=182)

We move all terms to the left:

x(3x+5-(182))=0

We add all the numbers together, and all the variables

x(3x-177)=0

We multiply parentheses

3x^2-177x=0

a = 3; b = -177; c = 0;
Δ = b2-4ac
Δ = -1772-4·3·0
Δ = 31329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{31329}=177$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-177)-177}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-177)+177}{2*3}=\frac{354}{6}
=59
$