-126-3=4(-7p-6)*7p

Solution for -126-3=4(-7p-6)*7p equation:

-126-3=4(-7p-6)*7p

We move all terms to the left:

-126-3-(4(-7p-6)*7p)=0

We add all the numbers together, and all the variables

-(4(-7p-6)*7p)-129=0


We calculate terms in parentheses: -(4(-7p-6)*7p), so:

4(-7p-6)*7p

We multiply parentheses

-196p^2-168p

Back to the equation:

-(-196p^2-168p)


We get rid of parentheses

196p^2+168p-129=0

a = 196; b = 168; c = -129;
Δ = b2-4ac
Δ = 1682-4·196·(-129)
Δ = 129360
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{129360}=\sqrt{784*165}=\sqrt{784}*\sqrt{165}=28\sqrt{165}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(168)-28\sqrt{165}}{2*196}=\frac{-168-28\sqrt{165}}{392}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(168)+28\sqrt{165}}{2*196}=\frac{-168+28\sqrt{165}}{392}
$