(x+4)(x+4)-2x-5=(x-1)(x-1)

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Solution for (x+4)(x+4)-2x-5=(x-1)(x-1) equation:


Simplifying
(x + 4)(x + 4) + -2x + -5 = (x + -1)(x + -1)

Reorder the terms:
(4 + x)(x + 4) + -2x + -5 = (x + -1)(x + -1)

Reorder the terms:
(4 + x)(4 + x) + -2x + -5 = (x + -1)(x + -1)

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + -2x + -5 = (x + -1)(x + -1)
((4 * 4 + x * 4) + x(4 + x)) + -2x + -5 = (x + -1)(x + -1)
((16 + 4x) + x(4 + x)) + -2x + -5 = (x + -1)(x + -1)
(16 + 4x + (4 * x + x * x)) + -2x + -5 = (x + -1)(x + -1)
(16 + 4x + (4x + x2)) + -2x + -5 = (x + -1)(x + -1)

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + -2x + -5 = (x + -1)(x + -1)

Reorder the terms:
16 + -5 + 8x + -2x + x2 = (x + -1)(x + -1)

Combine like terms: 16 + -5 = 11
11 + 8x + -2x + x2 = (x + -1)(x + -1)

Combine like terms: 8x + -2x = 6x
11 + 6x + x2 = (x + -1)(x + -1)

Reorder the terms:
11 + 6x + x2 = (-1 + x)(x + -1)

Reorder the terms:
11 + 6x + x2 = (-1 + x)(-1 + x)

Multiply (-1 + x) * (-1 + x)
11 + 6x + x2 = (-1(-1 + x) + x(-1 + x))
11 + 6x + x2 = ((-1 * -1 + x * -1) + x(-1 + x))
11 + 6x + x2 = ((1 + -1x) + x(-1 + x))
11 + 6x + x2 = (1 + -1x + (-1 * x + x * x))
11 + 6x + x2 = (1 + -1x + (-1x + x2))

Combine like terms: -1x + -1x = -2x
11 + 6x + x2 = (1 + -2x + x2)

Add '-1x2' to each side of the equation.
11 + 6x + x2 + -1x2 = 1 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + 6x + 0 = 1 + -2x + x2 + -1x2
11 + 6x = 1 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + 6x = 1 + -2x + 0
11 + 6x = 1 + -2x

Solving
11 + 6x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
11 + 6x + 2x = 1 + -2x + 2x

Combine like terms: 6x + 2x = 8x
11 + 8x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 8x = 1 + 0
11 + 8x = 1

Add '-11' to each side of the equation.
11 + -11 + 8x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 1 + -11
8x = 1 + -11

Combine like terms: 1 + -11 = -10
8x = -10

Divide each side by '8'.
x = -1.25

Simplifying
x = -1.25

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