3m-6+m^2-5m+1=

Simple and best practice solution for 3m-6+m^2-5m+1= 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 3m-6+m^2-5m+1= equation:


Simplifying
3m + -6 + m2 + -5m + 1 = 0

Reorder the terms:
-6 + 1 + 3m + -5m + m2 = 0

Combine like terms: -6 + 1 = -5
-5 + 3m + -5m + m2 = 0

Combine like terms: 3m + -5m = -2m
-5 + -2m + m2 = 0

Solving
-5 + -2m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + -2m + 5 + m2 = 0 + 5

Reorder the terms:
-5 + 5 + -2m + m2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m + m2 = 0 + 5
-2m + m2 = 0 + 5

Combine like terms: 0 + 5 = 5
-2m + m2 = 5

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = 5 + 1

Reorder the terms:
1 + -2m + m2 = 5 + 1

Combine like terms: 5 + 1 = 6
1 + -2m + m2 = 6

Factor a perfect square on the left side:
(m + -1)(m + -1) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(m + -1) equal to 2.449489743 and -2.449489743.

Subproblem 1

m + -1 = 2.449489743 Simplifying m + -1 = 2.449489743 Reorder the terms: -1 + m = 2.449489743 Solving -1 + m = 2.449489743 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + m = 2.449489743 + 1 Combine like terms: -1 + 1 = 0 0 + m = 2.449489743 + 1 m = 2.449489743 + 1 Combine like terms: 2.449489743 + 1 = 3.449489743 m = 3.449489743 Simplifying m = 3.449489743

Subproblem 2

m + -1 = -2.449489743 Simplifying m + -1 = -2.449489743 Reorder the terms: -1 + m = -2.449489743 Solving -1 + m = -2.449489743 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + m = -2.449489743 + 1 Combine like terms: -1 + 1 = 0 0 + m = -2.449489743 + 1 m = -2.449489743 + 1 Combine like terms: -2.449489743 + 1 = -1.449489743 m = -1.449489743 Simplifying m = -1.449489743

Solution

The solution to the problem is based on the solutions from the subproblems. m = {3.449489743, -1.449489743}

See similar equations:

| 25p=275 | | 6x+5x-46=86 | | 4.8=1.8+0.6 | | 7m=105 | | 1.25+c=5 | | 2(r^2+1)-5r=0 | | 2x-5y=1.14285714 | | 15*230x=x | | -3y-18=-13 | | -4*1-12*1+7=0 | | 7n+14=22 | | -49+0x+16x^2=0 | | 21/2x+11/2x+1=12.50 | | 30*50x=x | | 7-X=38 | | (-9s^2+8s)+(5s^2-3s-2)= | | 5(3+5b)= | | Y-10=23 | | [h-240]=15 | | 8v-2=74 | | U=4(6n+32)+9(n+1) | | 4.8=1.8n-0.6n | | -3=x+-4 | | 36=1y-5y-12 | | 4.8=1.8-0.6 | | 20+10x+25x=5.50 | | 7(b-3)=7b+2 | | (-a^3-5a^2)+(4a^3+7a^2+9)= | | -10+-13x+3x^2=0 | | 7w-6=4(w+6) | | 0.6x+8=11 | | 5b+15=60 |

Equations solver categories