(-4)=3x^2-7x-32

Solution for (-4)=3x^2-7x-32 equation:

(-4)=3x^2-7x-32

We move all terms to the left:

(-4)-(3x^2-7x-32)=0

We add all the numbers together, and all the variables

-(3x^2-7x-32)-4=0

We get rid of parentheses

-3x^2+7x+32-4=0

We add all the numbers together, and all the variables

-3x^2+7x+28=0

a = -3; b = 7; c = +28;
Δ = b2-4ac
Δ = 72-4·(-3)·28
Δ = 385
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{385}}{2*-3}=\frac{-7-\sqrt{385}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{385}}{2*-3}=\frac{-7+\sqrt{385}}{-6}
$