5m(m^2+5m-8)=0

Simple and best practice solution for 5m(m^2+5m-8)=0 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 5m(m^2+5m-8)=0 equation: 


Simplifying
5m(m2 + 5m + -8) = 0

Reorder the terms:
5m(-8 + 5m + m2) = 0
(-8 * 5m + 5m * 5m + m2 * 5m) = 0
(-40m + 25m2 + 5m3) = 0

Solving
-40m + 25m2 + 5m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m'.
5m(-8 + 5m + m2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-8 + 5m + m2)' equal to zero and attempt to solve:

Simplifying
-8 + 5m + m2 = 0

Solving
-8 + 5m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 5m + 8 + m2 = 0 + 8

Reorder the terms:
-8 + 8 + 5m + m2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5m + m2 = 0 + 8
5m + m2 = 0 + 8

Combine like terms: 0 + 8 = 8
5m + m2 = 8

The m term is 5m.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5m + 6.25 + m2 = 8 + 6.25

Reorder the terms:
6.25 + 5m + m2 = 8 + 6.25

Combine like terms: 8 + 6.25 = 14.25
6.25 + 5m + m2 = 14.25

Factor a perfect square on the left side:
(m + 2.5)(m + 2.5) = 14.25

Calculate the square root of the right side: 3.774917218

Break this problem into two subproblems by setting 
(m + 2.5) equal to 3.774917218 and -3.774917218.


Subproblem 1
m + 2.5 = 3.774917218

Simplifying
m + 2.5 = 3.774917218

Reorder the terms:
2.5 + m = 3.774917218

Solving
2.5 + m = 3.774917218

Solving for variable 'm'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + m = 3.774917218 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + m = 3.774917218 + -2.5
m = 3.774917218 + -2.5

Combine like terms: 3.774917218 + -2.5 = 1.274917218
m = 1.274917218

Simplifying
m = 1.274917218


Subproblem 2
m + 2.5 = -3.774917218

Simplifying
m + 2.5 = -3.774917218

Reorder the terms:
2.5 + m = -3.774917218

Solving
2.5 + m = -3.774917218

Solving for variable 'm'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + m = -3.774917218 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + m = -3.774917218 + -2.5
m = -3.774917218 + -2.5

Combine like terms: -3.774917218 + -2.5 = -6.274917218
m = -6.274917218

Simplifying
m = -6.274917218


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {1.274917218, -6.274917218}
Solution
m = {0, 1.274917218, -6.274917218}

See similar equations:

| 3(x+2)-x=2(x-1)+5 | | 5x+6=3x^2-9 | | -4.4q+1.3=-23.9-1.6q | | 3(w-2)-4w=2(w-9) | | -2(v+6)+6v=4(v-3) | | 2(x+2)+x=3(x-1)+6 | | .333333f-3=1 | | v=.333333bh | | x*x*x(3-4x)=4x(3-4x) | | x-1388=-15 | | x-745=-14 | | x(3-4x)=4x(3-4x) | | x-1450=734 | | .333p-.375p=3 | | x+235=-200 | | .333p-.375p=5 | | (8x^2-4x+6)(5x+5)= | | 1p-8p=5 | | -1/3=-3/2 | | (5x^2-2x-5)(3x+9)= | | x-32=-15 | | -7c+9=c-1 | | 17c+9=c-1 | | x+30=-15 | | x-128=-132 | | x+28=-15 | | 18+(5*73)+7*(7+23)= | | x+27=35 | | .75x=50000 | | 3p-10=23 | | 5x-7=21 | | x+23=-15 |

Equations solver categories