m^2+6m-23=-7

Simple and best practice solution for m^2+6m-23=-7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for m^2+6m-23=-7 equation:


Simplifying
m2 + 6m + -23 = -7

Reorder the terms:
-23 + 6m + m2 = -7

Solving
-23 + 6m + m2 = -7

Solving for variable 'm'.

Reorder the terms:
-23 + 7 + 6m + m2 = -7 + 7

Combine like terms: -23 + 7 = -16
-16 + 6m + m2 = -7 + 7

Combine like terms: -7 + 7 = 0
-16 + 6m + m2 = 0

Factor a trinomial.
(-8 + -1m)(2 + -1m) = 0


Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve:

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1m = 0 + 8
-1m = 0 + 8

Combine like terms: 0 + 8 = 8
-1m = 8

Divide each side by '-1'.
m = -8

Simplifying
m = -8

Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-8, 2}

See similar equations:

| 4n=35 | | -2(5n-3)=86 | | m^2+6m-23=-8 | | -39+y=37 | | 48x^2=120x | | z^3-7z^2+19z-13=0 | | x+11=-73 | | 830x+750y=780(x+y) | | 22.5-1.5=x | | M+2.9=2.3 | | 830x+750=780(x+y) | | 4x+2x=63 | | -4=2(2b+1)-6b | | 3(w-3)=-12 | | x-18=4x-9 | | p=-100+(0.2q-3)q | | 23+11x=21+9x | | m+0.8=5.8 | | x^2-9x+192=0 | | 4x+7=15+3x | | 4n+4=25-3n | | 7a=8 | | M+5.6=-11.12 | | 9-5y=3-6y | | 4w+4=3w+6 | | Y-1=-5(x-0) | | 1=4+6c | | 10x+14=90 | | (4x+7)(x^2-9)=0 | | x=3m-9n-6(3m-9n) | | 4.3x=39.13 | | 4x-6+7x+37=180 |

Equations solver categories