-10X(X-1)=10-10X

Simple and best practice solution for -10X(X-1)=10-10X 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 -10X(X-1)=10-10X equation: 


Simplifying
-10X(X + -1) = 10 + -10X

Reorder the terms:
-10X(-1 + X) = 10 + -10X
(-1 * -10X + X * -10X) = 10 + -10X
(10X + -10X2) = 10 + -10X

Solving
10X + -10X2 = 10 + -10X

Solving for variable 'X'.

Reorder the terms:
-10 + 10X + 10X + -10X2 = 10 + -10X + -10 + 10X

Combine like terms: 10X + 10X = 20X
-10 + 20X + -10X2 = 10 + -10X + -10 + 10X

Reorder the terms:
-10 + 20X + -10X2 = 10 + -10 + -10X + 10X

Combine like terms: 10 + -10 = 0
-10 + 20X + -10X2 = 0 + -10X + 10X
-10 + 20X + -10X2 = -10X + 10X

Combine like terms: -10X + 10X = 0
-10 + 20X + -10X2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-1 + 2X + -1X2) = 0

Factor a trinomial.
10((-1 + X)(1 + -1X)) = 0

Ignore the factor 10.

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

Simplifying
-1 + X = 0

Solving
-1 + X = 0

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

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

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

Combine like terms: 0 + 1 = 1
X = 1

Simplifying
X = 1

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

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

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

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

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

Simplifying
X = 1
Solution
X = {1, 1}

See similar equations:

| -6x+2(1+x)=-18 | | x-2+x=4x+8 | | .05(x+1)-1.5=0.3 | | 3/5c=3/8 | | -4(-2p+5)=4 | | (Y+3)x=14 | | -8x+8(-3x-5)=-8 | | 5(1-8n)-n=-36 | | -7(-8x+8)=0 | | 89=6+17-2-4+e | | 18=6-12 | | (-2+6k)/15k | | y/8+19=30 | | -8(1+4x)=-40 | | 0.71-0.22s=1.03-0.62 | | b/-6=30 | | s-7-1=75 | | -8n+1+7=16 | | 50=10+n+5+2 | | 300=200+25+0.02x | | y/-3=-8 | | 123m+2=216 | | -1/3x=5 | | 95=11+9+r-15+13 | | X+21=44 | | 2/3m+5=13 | | 3x-5=44 | | 3t=6t-20 | | N+6-8n=-22 | | (X+30)=x | | 2Y=45+4X | | 2(-6x-1)+2=-12x |

Equations solver categories