14=-(m^2-23)

Solution for 14=-(m^2-23) equation:

14=-(m^2-23)

We move all terms to the left:

14-(-(m^2-23))=0


We calculate terms in parentheses: -(-(m^2-23)), so:

-(m^2-23)

We get rid of parentheses

-m^2+23

We add all the numbers together, and all the variables

-1m^2+23

Back to the equation:

-(-1m^2+23)


We get rid of parentheses

1m^2-23+14=0

We add all the numbers together, and all the variables

m^2-9=0

a = 1; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·1·(-9)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*1}=\frac{-6}{2}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*1}=\frac{6}{2}
=3
$