5(3x^2+2)=745

Solution for 5(3x^2+2)=745 equation:

5(3x^2+2)=745

We move all terms to the left:

5(3x^2+2)-(745)=0

We multiply parentheses

15x^2+10-745=0

We add all the numbers together, and all the variables

15x^2-735=0

a = 15; b = 0; c = -735;
Δ = b2-4ac
Δ = 02-4·15·(-735)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-210}{2*15}=\frac{-210}{30}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+210}{2*15}=\frac{210}{30}
=7
$