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

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


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

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

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

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

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

Reorder the terms:
16 + 8x + x2 = (4 + x)(x) + (x + 4)(2)

Reorder the terms for easier multiplication:
16 + 8x + x2 = x(4 + x) + (x + 4)(2)
16 + 8x + x2 = (4 * x + x * x) + (x + 4)(2)
16 + 8x + x2 = (4x + x2) + (x + 4)(2)

Reorder the terms:
16 + 8x + x2 = 4x + x2 + (4 + x)(2)

Reorder the terms for easier multiplication:
16 + 8x + x2 = 4x + x2 + 2(4 + x)
16 + 8x + x2 = 4x + x2 + (4 * 2 + x * 2)
16 + 8x + x2 = 4x + x2 + (8 + 2x)

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

Combine like terms: 4x + 2x = 6x
16 + 8x + x2 = 8 + 6x + x2

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = 8 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = 8 + 6x + x2 + -1x2
16 + 8x = 8 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = 8 + 6x + 0
16 + 8x = 8 + 6x

Solving
16 + 8x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 8x + -6x = 8 + 6x + -6x

Combine like terms: 8x + -6x = 2x
16 + 2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = 8 + 0
16 + 2x = 8

Add '-16' to each side of the equation.
16 + -16 + 2x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 8 + -16
2x = 8 + -16

Combine like terms: 8 + -16 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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