(3x+7)(x+25)=0

Solution for (3x+7)(x+25)=0 equation:

(3x+7)(x+25)=0

We multiply parentheses ..

(+3x^2+75x+7x+175)=0

We get rid of parentheses

3x^2+75x+7x+175=0

We add all the numbers together, and all the variables

3x^2+82x+175=0

a = 3; b = 82; c = +175;
Δ = b2-4ac
Δ = 822-4·3·175
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(82)-68}{2*3}=\frac{-150}{6}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(82)+68}{2*3}=\frac{-14}{6}
=-2+1/3
$