x(x-2)+(x-2)(x+2)=0

Simple and best practice solution for x(x-2)+(x-2)(x+2)=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 x(x-2)+(x-2)(x+2)=0 equation: 


Simplifying
x(x + -2) + (x + -2)(x + 2) = 0

Reorder the terms:
x(-2 + x) + (x + -2)(x + 2) = 0
(-2 * x + x * x) + (x + -2)(x + 2) = 0
(-2x + x2) + (x + -2)(x + 2) = 0

Reorder the terms:
-2x + x2 + (-2 + x)(x + 2) = 0

Reorder the terms:
-2x + x2 + (-2 + x)(2 + x) = 0

Multiply (-2 + x) * (2 + x)
-2x + x2 + (-2(2 + x) + x(2 + x)) = 0
-2x + x2 + ((2 * -2 + x * -2) + x(2 + x)) = 0
-2x + x2 + ((-4 + -2x) + x(2 + x)) = 0
-2x + x2 + (-4 + -2x + (2 * x + x * x)) = 0
-2x + x2 + (-4 + -2x + (2x + x2)) = 0

Combine like terms: -2x + 2x = 0
-2x + x2 + (-4 + 0 + x2) = 0
-2x + x2 + (-4 + x2) = 0

Reorder the terms:
-4 + -2x + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
-4 + -2x + 2x2 = 0

Solving
-4 + -2x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1x + x2) = 0

Factor a trinomial.
2((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}

See similar equations:

| 2-.75k=.125k+9 | | 4(x+2)=5-(x+2) | | 10(9c-1)-14=88c+10 | | 3x+-3+5=5 | | 4(x+2)=5-(x-2) | | 0.6(x-2)=12.0 | | 8x+8-5x=3x+8 | | 7n=77 | | 12x-3=90+3(x-7) | | n-12=10 | | 3x+4=6-7x | | 10x^2+1=11X | | -5(n+3)-(7+8n)= | | 2(e-15)=32 | | 3x(-3x+5)=5 | | 37x+20=0 | | x(2-x)(2+x)-x-2= | | 4+x^2=75 | | 5(3X-4)=16x | | 11-(x+8)=3+x | | 11+n=-5 | | 43-7x=2x+18 | | 8y+6=38 | | 11+n= | | -6-4n+3n=20-35 | | -15-13d=-15d+15 | | 8y+6=42-4 | | 6x^2+5+1= | | X^2+8x-71=0 | | .666666667+3y=5y-.133333333 | | 5-10x=777-31x | | (x-9)5= |

Equations solver categories