X=67-3(5x2)

Solution for X=67-3(5x2) equation:

X=67-3(5X^2)

We move all terms to the left:

X-(67-3(5X^2))=0

determiningTheFunctionDomain
-(67-35X^2)+X=0

We get rid of parentheses

35X^2+X-67=0

a = 35; b = 1; c = -67;
Δ = b2-4ac
Δ = 12-4·35·(-67)
Δ = 9381
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{9381}}{2*35}=\frac{-1-\sqrt{9381}}{70}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{9381}}{2*35}=\frac{-1+\sqrt{9381}}{70}
$