x^2+(x+2)(x+2)=(x+4)(x+4)

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


Simplifying
x2 + (x + 2)(x + 2) = (x + 4)(x + 4)

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

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

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

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

Reorder the terms:
4 + 4x + x2 + x2 = (x + 4)(x + 4)

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

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

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

Multiply (4 + x) * (4 + x)
4 + 4x + 2x2 = (4(4 + x) + x(4 + x))
4 + 4x + 2x2 = ((4 * 4 + x * 4) + x(4 + x))
4 + 4x + 2x2 = ((16 + 4x) + x(4 + x))
4 + 4x + 2x2 = (16 + 4x + (4 * x + x * x))
4 + 4x + 2x2 = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
4 + 4x + 2x2 = (16 + 8x + x2)

Solving
4 + 4x + 2x2 = 16 + 8x + x2

Solving for variable 'x'.

Reorder the terms:
4 + -16 + 4x + -8x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 4 + -16 = -12
-12 + 4x + -8x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 4x + -8x = -4x
-12 + -4x + 2x2 + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-12 + -4x + 1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
-12 + -4x + 1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-12 + -4x + 1x2 = 0 + 8x + -8x + x2 + -1x2
-12 + -4x + 1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-12 + -4x + 1x2 = 0 + x2 + -1x2
-12 + -4x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -4x + 1x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-2, 6}

See similar equations:

| 12+2x=24-4x | | 4a-4=5(a+1)+12a+6 | | P=12-5 | | 11q+8-q= | | -5x-8=32 | | m=-4 | | 10-7x=28-14x | | P=3.5x-y | | 14x+12x-1+2x= | | 167t+19t+16=1132 | | -6a=12 | | 11a+6b+24a+18b= | | 25-3n=21-4n | | (3x+5)(x^2+x-2)=0 | | 3x+4y+12x-5y= | | -4=2x-6 | | -243=-90+-9x | | 3(r+15)=90 | | 2X+3X-5X= | | 2+5x=15y | | b(b-6)=16 | | 4s^2=8s | | 20+3d+6d=92 | | 2x=(3x-2)(m+6) | | (y-3)-(y+8)=6y | | -3xm-16x-2m=-12 | | x+6=3(x-4) | | 5y=80 | | 4(4x-1)=16 | | 9x^2-6x+4=0 | | 10s^2=24+22s | | 8k-4=2(k+10) |

Equations solver categories