(X+4)(x+3)=182

Solution for (X+4)(x+3)=182 equation:

(X+4)(X+3)=182

We move all terms to the left:

(X+4)(X+3)-(182)=0

We multiply parentheses ..

(+X^2+3X+4X+12)-182=0

We get rid of parentheses

X^2+3X+4X+12-182=0

We add all the numbers together, and all the variables

X^2+7X-170=0

a = 1; b = 7; c = -170;
Δ = b2-4ac
Δ = 72-4·1·(-170)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-27}{2*1}=\frac{-34}{2}
=-17
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+27}{2*1}=\frac{20}{2}
=10
$