-6x(7x+12)=-3(14x+24)

Solution for -6x(7x+12)=-3(14x+24) equation:

-6x(7x+12)=-3(14x+24)

We move all terms to the left:

-6x(7x+12)-(-3(14x+24))=0

We multiply parentheses

-42x^2-72x-(-3(14x+24))=0


We calculate terms in parentheses: -(-3(14x+24)), so:

-3(14x+24)

We multiply parentheses

-42x-72

Back to the equation:

-(-42x-72)


We get rid of parentheses

-42x^2-72x+42x+72=0

We add all the numbers together, and all the variables

-42x^2-30x+72=0

a = -42; b = -30; c = +72;
Δ = b2-4ac
Δ = -302-4·(-42)·72
Δ = 12996
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12996}=114$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-114}{2*-42}=\frac{-84}{-84}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+114}{2*-42}=\frac{144}{-84}
=-1+5/7
$