-3x^2=-5-7x

Solution for -3x^2=-5-7x equation:

-3x^2=-5-7x

We move all terms to the left:

-3x^2-(-5-7x)=0

We add all the numbers together, and all the variables

-3x^2-(-7x-5)=0

We get rid of parentheses

-3x^2+7x+5=0

a = -3; b = 7; c = +5;
Δ = b2-4ac
Δ = 72-4·(-3)·5
Δ = 109
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{-(7)-\sqrt{109}}{2*-3}=\frac{-7-\sqrt{109}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{109}}{2*-3}=\frac{-7+\sqrt{109}}{-6}
$