7x^2-24x=-2x^2+3x

Solution for 7x^2-24x=-2x^2+3x equation:

7x^2-24x=-2x^2+3x

We move all terms to the left:

7x^2-24x-(-2x^2+3x)=0

We get rid of parentheses

7x^2+2x^2-3x-24x=0

We add all the numbers together, and all the variables

9x^2-27x=0

a = 9; b = -27; c = 0;
Δ = b2-4ac
Δ = -272-4·9·0
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-27}{2*9}=\frac{0}{18}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+27}{2*9}=\frac{54}{18}
=3
$