7x=15-30x2

Solution for 7x=15-30x2 equation:

7x=15-30x^2

We move all terms to the left:

7x-(15-30x^2)=0

We get rid of parentheses

30x^2+7x-15=0

a = 30; b = 7; c = -15;
Δ = b2-4ac
Δ = 72-4·30·(-15)
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-43}{2*30}=\frac{-50}{60}
=-5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+43}{2*30}=\frac{36}{60}
=3/5
$