-14x^2+4x+14x=-6x^2

Solution for -14x^2+4x+14x=-6x^2 equation:

-14x^2+4x+14x=-6x^2

We move all terms to the left:

-14x^2+4x+14x-(-6x^2)=0

We add all the numbers together, and all the variables

-14x^2-(-6x^2)+18x=0

We get rid of parentheses

-14x^2+6x^2+18x=0

We add all the numbers together, and all the variables

-8x^2+18x=0

a = -8; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-8)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-8}=\frac{-36}{-16}
=2+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-8}=\frac{0}{-16}
=0
$