56p*56p+8=67

Solution for 56p*56p+8=67 equation:

56p*56p+8=67

We move all terms to the left:

56p*56p+8-(67)=0

We add all the numbers together, and all the variables

56p*56p-59=0

Wy multiply elements

3136p^2-59=0

a = 3136; b = 0; c = -59;
Δ = b2-4ac
Δ = 02-4·3136·(-59)
Δ = 740096
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:

$\sqrt{\Delta}=\sqrt{740096}=\sqrt{12544*59}=\sqrt{12544}*\sqrt{59}=112\sqrt{59}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112\sqrt{59}}{2*3136}=\frac{0-112\sqrt{59}}{6272}
=-\frac{112\sqrt{59}}{6272}
=-\frac{\sqrt{59}}{56}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112\sqrt{59}}{2*3136}=\frac{0+112\sqrt{59}}{6272}
=\frac{112\sqrt{59}}{6272}
=\frac{\sqrt{59}}{56}
$