4(9x2)=152

Solution for 4(9x2)=152 equation:

4(9x^2)=152

We move all terms to the left:

4(9x^2)-(152)=0

a = 49; b = 0; c = -152;
Δ = b2-4ac
Δ = 02-4·49·(-152)
Δ = 29792
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:

$\sqrt{\Delta}=\sqrt{29792}=\sqrt{784*38}=\sqrt{784}*\sqrt{38}=28\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{38}}{2*49}=\frac{0-28\sqrt{38}}{98}
=-\frac{28\sqrt{38}}{98}
=-\frac{2\sqrt{38}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{38}}{2*49}=\frac{0+28\sqrt{38}}{98}
=\frac{28\sqrt{38}}{98}
=\frac{2\sqrt{38}}{7}
$