5m^2+28m+13=3m-7

Simple and best practice solution for 5m^2+28m+13=3m-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 5m^2+28m+13=3m-7 equation: 


Simplifying
5m2 + 28m + 13 = 3m + -7

Reorder the terms:
13 + 28m + 5m2 = 3m + -7

Reorder the terms:
13 + 28m + 5m2 = -7 + 3m

Solving
13 + 28m + 5m2 = -7 + 3m

Solving for variable 'm'.

Reorder the terms:
13 + 7 + 28m + -3m + 5m2 = -7 + 3m + 7 + -3m

Combine like terms: 13 + 7 = 20
20 + 28m + -3m + 5m2 = -7 + 3m + 7 + -3m

Combine like terms: 28m + -3m = 25m
20 + 25m + 5m2 = -7 + 3m + 7 + -3m

Reorder the terms:
20 + 25m + 5m2 = -7 + 7 + 3m + -3m

Combine like terms: -7 + 7 = 0
20 + 25m + 5m2 = 0 + 3m + -3m
20 + 25m + 5m2 = 3m + -3m

Combine like terms: 3m + -3m = 0
20 + 25m + 5m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + 5m + m2) = 0

Factor a trinomial.
5((4 + m)(1 + m)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

Solving
4 + m = 0

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

Add '-4' to each side of the equation.
4 + -4 + m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + m = 0 + -4
m = 0 + -4

Combine like terms: 0 + -4 = -4
m = -4

Simplifying
m = -4

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

Simplifying
1 + m = 0

Solving
1 + m = 0

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 = 0 + -1

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

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

Simplifying
m = -1
Solution
m = {-4, -1}

See similar equations:

| -5(2y-4)-y=-2(y-4) | | 19x=x^2+18x+81 | | -11x+455=180 | | 6ax+2y=3bx | | 7+10c=9c | | 4n=18+3n | | (20+5)*9= | | (n+1)(6n+5)= | | 5+2m=30 | | 5+2a=5 | | m=15+.50p | | 8+2(x-4)=10-9(x-1) | | 25x-24=50 | | 2.5p+1.6= | | 8-2(4x-2)=2(x-5)+20 | | 5(n-3)+6n=62 | | (a-2b)(6a-b)= | | 5t+t=78 | | 9(x-3)+4=3x+6(-4+x) | | -7(t-3)-(t+1)=4 | | 21=5x+10 | | 14-.125b=.75b-21 | | (3n-4)(4n+3)= | | (s+3)+s=11 | | 72-3x=27+6x | | 9q^2-8pq-9q+8p= | | 17=182-X | | -4(t-4)+16=4(t+2) | | 30x-(-x+6)+(-5x+4)=-(5x-6)+(-8+3x) | | 2c+3c(400)=1050 | | y^2-16y+52=0 | | 4(x+7)+6=4x+7 |

Equations solver categories