3x^2-10x-14x=-x^2

Solution for 3x^2-10x-14x=-x^2 equation:

3x^2-10x-14x=-x^2

We move all terms to the left:

3x^2-10x-14x-(-x^2)=0

We add all the numbers together, and all the variables

3x^2-(-x^2)-24x=0

We get rid of parentheses

3x^2+x^2-24x=0

We add all the numbers together, and all the variables

4x^2-24x=0

a = 4; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·4·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*4}=\frac{48}{8}
=6
$