2(x+6)+(x+2)(x-2)=x+8

Simple and best practice solution for 2(x+6)+(x+2)(x-2)=x+8 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 2(x+6)+(x+2)(x-2)=x+8 equation: 


Simplifying
2(x + 6) + (x + 2)(x + -2) = x + 8

Reorder the terms:
2(6 + x) + (x + 2)(x + -2) = x + 8
(6 * 2 + x * 2) + (x + 2)(x + -2) = x + 8
(12 + 2x) + (x + 2)(x + -2) = x + 8

Reorder the terms:
12 + 2x + (2 + x)(x + -2) = x + 8

Reorder the terms:
12 + 2x + (2 + x)(-2 + x) = x + 8

Multiply (2 + x) * (-2 + x)
12 + 2x + (2(-2 + x) + x(-2 + x)) = x + 8
12 + 2x + ((-2 * 2 + x * 2) + x(-2 + x)) = x + 8
12 + 2x + ((-4 + 2x) + x(-2 + x)) = x + 8
12 + 2x + (-4 + 2x + (-2 * x + x * x)) = x + 8
12 + 2x + (-4 + 2x + (-2x + x2)) = x + 8

Combine like terms: 2x + -2x = 0
12 + 2x + (-4 + 0 + x2) = x + 8
12 + 2x + (-4 + x2) = x + 8

Reorder the terms:
12 + -4 + 2x + x2 = x + 8

Combine like terms: 12 + -4 = 8
8 + 2x + x2 = x + 8

Reorder the terms:
8 + 2x + x2 = 8 + x

Add '-8' to each side of the equation.
8 + 2x + -8 + x2 = 8 + -8 + x

Reorder the terms:
8 + -8 + 2x + x2 = 8 + -8 + x

Combine like terms: 8 + -8 = 0
0 + 2x + x2 = 8 + -8 + x
2x + x2 = 8 + -8 + x

Combine like terms: 8 + -8 = 0
2x + x2 = 0 + x
2x + x2 = x

Solving
2x + x2 = x

Solving for variable 'x'.

Reorder the terms:
2x + -1x + x2 = x + -1x

Combine like terms: 2x + -1x = 1x
1x + x2 = x + -1x

Combine like terms: x + -1x = 0
1x + x2 = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, -1}

See similar equations:

| -6n-2m=16 | | 3v(v+5)(v-9)=0 | | (X+5)*(x+5)-25=x*x | | (x*x+9-6x)-(4x-12)(x+13)=0 | | x*2=3*7 | | 15-10x+7=4-6x+9 | | -2[4-(3b+5)]=7-5(3b+9) | | 6x^2+31x+35=0 | | 4*(a-2b)-3a= | | 15x-12-5=14-10x+3 | | 5x+10-4x=9+2x-6 | | 6x-10+3=2x+1 | | 6y-3=10+5(y-2) | | 4(2x+3)-5(x+7)=6 | | 5a-(2b-3a)= | | 6x-10+3=2x-1 | | 22-6x=35-10x | | 6x+(-28)=4x+(-16) | | 14-2(4x-9)=8 | | 16u^8-8u^4+1=0 | | (x-5)(x+8)=(x-2)(x+1)+6 | | (x-4)+(2x+5)=4x-8 | | 3x-3(x-5)=3x-1 | | 9(x+5)=2(x-7)+5(x+9) | | 22x+(3x-19)-(11x-15)=25-(17-13x) | | 1856.6=(9/5)C+32 | | 9+14y-4=8y+65-4y | | .5(2m-20)=.25(8-8m) | | 22x+3(3x-19)-(11x-15)=25-(17-13x) | | 9x^2+22x-15= | | G(1-t)=3x^2-4x+12 | | 200+55m=50+55m |

Equations solver categories