(3x+7)(x)=154

Solution for (3x+7)(x)=154 equation:

(3x+7)(x)=154

We move all terms to the left:

(3x+7)(x)-(154)=0

We multiply parentheses

3x^2+7x-154=0

a = 3; b = 7; c = -154;
Δ = b2-4ac
Δ = 72-4·3·(-154)
Δ = 1897
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{1897}}{2*3}=\frac{-7-\sqrt{1897}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1897}}{2*3}=\frac{-7+\sqrt{1897}}{6}
$