0.2(14-6x)=-7x(-3-9x)

Solution for 0.2(14-6x)=-7x(-3-9x) equation:

0.2(14-6x)=-7x(-3-9x)

We move all terms to the left:

0.2(14-6x)-(-7x(-3-9x))=0

We add all the numbers together, and all the variables

0.2(-6x+14)-(-7x(-9x-3))=0

We multiply parentheses

-1.2x-(-7x(-9x-3))+2.8=0


We calculate terms in parentheses: -(-7x(-9x-3)), so:

-7x(-9x-3)

We multiply parentheses

63x^2+21x

Back to the equation:

-(63x^2+21x)


We get rid of parentheses

-63x^2-1.2x-21x+2.8=0

We add all the numbers together, and all the variables

-63x^2-22.2x+2.8=0

a = -63; b = -22.2; c = +2.8;
Δ = b2-4ac
Δ = -22.22-4·(-63)·2.8
Δ = 1198.44
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{-(-22.2)-\sqrt{1198.44}}{2*-63}=\frac{22.2-\sqrt{1198.44}}{-126}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22.2)+\sqrt{1198.44}}{2*-63}=\frac{22.2+\sqrt{1198.44}}{-126}
$