4(5x2)=2(9+3)

Solution for 4(5x2)=2(9+3) equation:

4(5x^2)=2(9+3)

We move all terms to the left:

4(5x^2)-(2(9+3))=0

We add all the numbers together, and all the variables

45x^2-(212)=0

We add all the numbers together, and all the variables

45x^2-212=0

a = 45; b = 0; c = -212;
Δ = b2-4ac
Δ = 02-4·45·(-212)
Δ = 38160
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:

$\sqrt{\Delta}=\sqrt{38160}=\sqrt{144*265}=\sqrt{144}*\sqrt{265}=12\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{265}}{2*45}=\frac{0-12\sqrt{265}}{90}
=-\frac{12\sqrt{265}}{90}
=-\frac{2\sqrt{265}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{265}}{2*45}=\frac{0+12\sqrt{265}}{90}
=\frac{12\sqrt{265}}{90}
=\frac{2\sqrt{265}}{15}
$