(x+4)*(x+4)=(x+3)*(x+3)

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Solution for (x+4)*(x+4)=(x+3)*(x+3) equation: 


Simplifying
(x + 4)(x + 4) = (x + 3)(x + 3)

Reorder the terms:
(4 + x)(x + 4) = (x + 3)(x + 3)

Reorder the terms:
(4 + x)(4 + x) = (x + 3)(x + 3)

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = (x + 3)(x + 3)
((4 * 4 + x * 4) + x(4 + x)) = (x + 3)(x + 3)
((16 + 4x) + x(4 + x)) = (x + 3)(x + 3)
(16 + 4x + (4 * x + x * x)) = (x + 3)(x + 3)
(16 + 4x + (4x + x2)) = (x + 3)(x + 3)

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = (x + 3)(x + 3)

Reorder the terms:
16 + 8x + x2 = (3 + x)(x + 3)

Reorder the terms:
16 + 8x + x2 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
16 + 8x + x2 = (3(3 + x) + x(3 + x))
16 + 8x + x2 = ((3 * 3 + x * 3) + x(3 + x))
16 + 8x + x2 = ((9 + 3x) + x(3 + x))
16 + 8x + x2 = (9 + 3x + (3 * x + x * x))
16 + 8x + x2 = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
16 + 8x + x2 = (9 + 6x + x2)

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = 9 + 6x + x2 + -1x2
16 + 8x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = 9 + 6x + 0
16 + 8x = 9 + 6x

Solving
16 + 8x = 9 + 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 = 9 + 6x + -6x

Combine like terms: 8x + -6x = 2x
16 + 2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = 9 + 0
16 + 2x = 9

Add '-16' to each side of the equation.
16 + -16 + 2x = 9 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 9 + -16
2x = 9 + -16

Combine like terms: 9 + -16 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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