(x)x=(2x+6)(2x+6)-(2x+4)(2x+4)

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Solution for (x)x=(2x+6)(2x+6)-(2x+4)(2x+4) equation: 


Simplifying
(x) * x = (2x + 6)(2x + 6) + -1(2x + 4)(2x + 4)

Multiply x * x
x2 = (2x + 6)(2x + 6) + -1(2x + 4)(2x + 4)

Reorder the terms:
x2 = (6 + 2x)(2x + 6) + -1(2x + 4)(2x + 4)

Reorder the terms:
x2 = (6 + 2x)(6 + 2x) + -1(2x + 4)(2x + 4)

Multiply (6 + 2x) * (6 + 2x)
x2 = (6(6 + 2x) + 2x * (6 + 2x)) + -1(2x + 4)(2x + 4)
x2 = ((6 * 6 + 2x * 6) + 2x * (6 + 2x)) + -1(2x + 4)(2x + 4)
x2 = ((36 + 12x) + 2x * (6 + 2x)) + -1(2x + 4)(2x + 4)
x2 = (36 + 12x + (6 * 2x + 2x * 2x)) + -1(2x + 4)(2x + 4)
x2 = (36 + 12x + (12x + 4x2)) + -1(2x + 4)(2x + 4)

Combine like terms: 12x + 12x = 24x
x2 = (36 + 24x + 4x2) + -1(2x + 4)(2x + 4)

Reorder the terms:
x2 = 36 + 24x + 4x2 + -1(4 + 2x)(2x + 4)

Reorder the terms:
x2 = 36 + 24x + 4x2 + -1(4 + 2x)(4 + 2x)

Multiply (4 + 2x) * (4 + 2x)
x2 = 36 + 24x + 4x2 + -1(4(4 + 2x) + 2x * (4 + 2x))
x2 = 36 + 24x + 4x2 + -1((4 * 4 + 2x * 4) + 2x * (4 + 2x))
x2 = 36 + 24x + 4x2 + -1((16 + 8x) + 2x * (4 + 2x))
x2 = 36 + 24x + 4x2 + -1(16 + 8x + (4 * 2x + 2x * 2x))
x2 = 36 + 24x + 4x2 + -1(16 + 8x + (8x + 4x2))

Combine like terms: 8x + 8x = 16x
x2 = 36 + 24x + 4x2 + -1(16 + 16x + 4x2)
x2 = 36 + 24x + 4x2 + (16 * -1 + 16x * -1 + 4x2 * -1)
x2 = 36 + 24x + 4x2 + (-16 + -16x + -4x2)

Reorder the terms:
x2 = 36 + -16 + 24x + -16x + 4x2 + -4x2

Combine like terms: 36 + -16 = 20
x2 = 20 + 24x + -16x + 4x2 + -4x2

Combine like terms: 24x + -16x = 8x
x2 = 20 + 8x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
x2 = 20 + 8x + 0
x2 = 20 + 8x

Solving
x2 = 20 + 8x

Solving for variable 'x'.

Reorder the terms:
-20 + -8x + x2 = 20 + 8x + -20 + -8x

Reorder the terms:
-20 + -8x + x2 = 20 + -20 + 8x + -8x

Combine like terms: 20 + -20 = 0
-20 + -8x + x2 = 0 + 8x + -8x
-20 + -8x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + -8x + x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-2, 10}

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