2m^2-2m+2(2m-2)(m-1)=(m^2-1)

Simple and best practice solution for 2m^2-2m+2(2m-2)(m-1)=(m^2-1) 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 2m^2-2m+2(2m-2)(m-1)=(m^2-1) equation: 


Simplifying
2m2 + -2m + 2(2m + -2)(m + -1) = (m2 + -1)

Reorder the terms:
2m2 + -2m + 2(-2 + 2m)(m + -1) = (m2 + -1)

Reorder the terms:
2m2 + -2m + 2(-2 + 2m)(-1 + m) = (m2 + -1)

Multiply (-2 + 2m) * (-1 + m)
2m2 + -2m + 2(-2(-1 + m) + 2m * (-1 + m)) = (m2 + -1)
2m2 + -2m + 2((-1 * -2 + m * -2) + 2m * (-1 + m)) = (m2 + -1)
2m2 + -2m + 2((2 + -2m) + 2m * (-1 + m)) = (m2 + -1)
2m2 + -2m + 2(2 + -2m + (-1 * 2m + m * 2m)) = (m2 + -1)
2m2 + -2m + 2(2 + -2m + (-2m + 2m2)) = (m2 + -1)

Combine like terms: -2m + -2m = -4m
2m2 + -2m + 2(2 + -4m + 2m2) = (m2 + -1)
2m2 + -2m + (2 * 2 + -4m * 2 + 2m2 * 2) = (m2 + -1)
2m2 + -2m + (4 + -8m + 4m2) = (m2 + -1)

Reorder the terms:
4 + -2m + -8m + 2m2 + 4m2 = (m2 + -1)

Combine like terms: -2m + -8m = -10m
4 + -10m + 2m2 + 4m2 = (m2 + -1)

Combine like terms: 2m2 + 4m2 = 6m2
4 + -10m + 6m2 = (m2 + -1)

Reorder the terms:
4 + -10m + 6m2 = (-1 + m2)

Remove parenthesis around (-1 + m2)
4 + -10m + 6m2 = -1 + m2

Solving
4 + -10m + 6m2 = -1 + m2

Solving for variable 'm'.

Reorder the terms:
4 + 1 + -10m + 6m2 + -1m2 = -1 + m2 + 1 + -1m2

Combine like terms: 4 + 1 = 5
5 + -10m + 6m2 + -1m2 = -1 + m2 + 1 + -1m2

Combine like terms: 6m2 + -1m2 = 5m2
5 + -10m + 5m2 = -1 + m2 + 1 + -1m2

Reorder the terms:
5 + -10m + 5m2 = -1 + 1 + m2 + -1m2

Combine like terms: -1 + 1 = 0
5 + -10m + 5m2 = 0 + m2 + -1m2
5 + -10m + 5m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
5 + -10m + 5m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + -2m + m2) = 0

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

Ignore the factor 5.

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

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

Simplifying
m = 1

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

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

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

See similar equations:

| 4x+4=16-16x+20 | | 2h^2+25h=13 | | 3+i/i | | y+42=y | | 112x-2x=1368 | | 4/5*30 | | 4x^3+10x^2+16x= | | 146=-n-6(3n+1) | | -9+2x=8 | | 112-2x=1368 | | 5(x+5)-4=22-2x-1+7x | | 5+n+2+n= | | 15+3x+3=3(5+x+1) | | -2x^2+16x-90=0 | | -5x^2-48x-27=0 | | (3/4w)^2 | | 30x^2-30x-23=0 | | 15(.3-x)+14.5x=2(.5x-10) | | 14+6r=7r+6r | | 2(4x+17)=2x-4 | | 2s^2-7s-15=0 | | 1/2w-16=5 | | 0.5*(4x+56)=6x+4 | | n/8=72/12 | | r+2=2r+2 | | 4x+3.9=5.79 | | 7/8k-40=-26 | | (3x/4)+5=35 | | 5g^2-16g=-12 | | 3/10-x=2/5x | | x^2+40x-1700=0 | | 5g-16g=-12 |

Equations solver categories