x(x+4)+x(x+2)=2x*2+12

Simple and best practice solution for x(x+4)+x(x+2)=2x*2+12 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+4)+x(x+2)=2x*2+12 equation: 


Simplifying
x(x + 4) + x(x + 2) = 2x * 2 + 12

Reorder the terms:
x(4 + x) + x(x + 2) = 2x * 2 + 12
(4 * x + x * x) + x(x + 2) = 2x * 2 + 12
(4x + x2) + x(x + 2) = 2x * 2 + 12

Reorder the terms:
4x + x2 + x(2 + x) = 2x * 2 + 12
4x + x2 + (2 * x + x * x) = 2x * 2 + 12
4x + x2 + (2x + x2) = 2x * 2 + 12

Reorder the terms:
4x + 2x + x2 + x2 = 2x * 2 + 12

Combine like terms: 4x + 2x = 6x
6x + x2 + x2 = 2x * 2 + 12

Combine like terms: x2 + x2 = 2x2
6x + 2x2 = 2x * 2 + 12

Reorder the terms for easier multiplication:
6x + 2x2 = 2 * 2x + 12

Multiply 2 * 2
6x + 2x2 = 4x + 12

Reorder the terms:
6x + 2x2 = 12 + 4x

Solving
6x + 2x2 = 12 + 4x

Solving for variable 'x'.

Reorder the terms:
-12 + 6x + -4x + 2x2 = 12 + 4x + -12 + -4x

Combine like terms: 6x + -4x = 2x
-12 + 2x + 2x2 = 12 + 4x + -12 + -4x

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + x + x2) = 0

Factor a trinomial.
2((-3 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 2}

See similar equations:

| 4x/3=32 | | 5x-3=7x+7-3x | | x(x+4)+x(x+2)=2x*2x+1 | | 1250-100i=200+100i | | 5y+y+19=139 | | f(x)=2x(x^2-25)(x-3) | | (1+u)(4u-3)=0 | | (1+y)(4u-3)=0 | | 3x+7+5x=12+2x+15 | | 4x+8=2x+1 | | 45-x=18-2y | | (45-x)/(9-y)=2 | | 9y+2y-19=102 | | 45-x/9-y=O2 | | 2=(45-x)/(9-y) | | 3x-y=4y+x | | N+4/12 | | 6y^2*y^3/2y^-2 | | 16-8A-3A=1-8A | | 8x-3x+43=108 | | 4X+7=16+7X | | 2*Y-200*i=400 | | 7x-2(x-4)=18 | | 2*Y-200i=400 | | 0=2+40t-16t^2 | | 3x-14=-2x+16 | | 15x+12y=27 | | 15x+12y=17 | | 15x+12y=1175000 | | 15x+12y= | | ax+r=7forx | | x^3y=16 |

Equations solver categories