X+2x-3x(-4-2x+9)+7^3=631

Solution for X+2x-3x(-4-2x+9)+7^3=631 equation:

X+2X-3X(-4-2X+9)+7^3=631

We move all terms to the left:

X+2X-3X(-4-2X+9)+7^3-(631)=0

determiningTheFunctionDomain
X+2X-3X(-4-2X+9)-631+7^3=0

We add all the numbers together, and all the variables

X+2X-3X(-2X+5)-631+7^3=0

We add all the numbers together, and all the variables

3X-3X(-2X+5)-288=0

We multiply parentheses

6X^2+3X-15X-288=0

We add all the numbers together, and all the variables

6X^2-12X-288=0

a = 6; b = -12; c = -288;
Δ = b2-4ac
Δ = -122-4·6·(-288)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-84}{2*6}=\frac{-72}{12}
=-6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+84}{2*6}=\frac{96}{12}
=8
$