10-3x=7x2-

Solution for 10-3x=7x2- equation:

10-3x=7x^2-

We move all terms to the left:

10-3x-(7x^2-)=0

We get rid of parentheses

-7x^2-3x+10+=0

We add all the numbers together, and all the variables

-7x^2-3x=0

a = -7; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·(-7)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*-7}=\frac{0}{-14}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*-7}=\frac{6}{-14}
=-3/7
$