1=5(6x^2)

Solution for 1=5(6x^2) equation:

1=5(6x^2)

We move all terms to the left:

1-(5(6x^2))=0

determiningTheFunctionDomain
-56x^2+1=0

a = -56; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-56)·1
Δ = 224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{14}}{2*-56}=\frac{0-4\sqrt{14}}{-112}
=-\frac{4\sqrt{14}}{-112}
=-\frac{\sqrt{14}}{-28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{14}}{2*-56}=\frac{0+4\sqrt{14}}{-112}
=\frac{4\sqrt{14}}{-112}
=\frac{\sqrt{14}}{-28}
$