4(2)x2-3=60

Solution for 4(2)x2-3=60 equation:

4(2)x2-3=60

We move all terms to the left:

4(2)x2-3-(60)=0

We add all the numbers together, and all the variables

42x^2-63=0

a = 42; b = 0; c = -63;
Δ = b2-4ac
Δ = 02-4·42·(-63)
Δ = 10584
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:

$\sqrt{\Delta}=\sqrt{10584}=\sqrt{1764*6}=\sqrt{1764}*\sqrt{6}=42\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42\sqrt{6}}{2*42}=\frac{0-42\sqrt{6}}{84}
=-\frac{42\sqrt{6}}{84}
=-\frac{\sqrt{6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42\sqrt{6}}{2*42}=\frac{0+42\sqrt{6}}{84}
=\frac{42\sqrt{6}}{84}
=\frac{\sqrt{6}}{2}
$