18x-29=(x+4)(x+4)

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Solution for 18x-29=(x+4)(x+4) equation: 


Simplifying
18x + -29 = (x + 4)(x + 4)

Reorder the terms:
-29 + 18x = (x + 4)(x + 4)

Reorder the terms:
-29 + 18x = (4 + x)(x + 4)

Reorder the terms:
-29 + 18x = (4 + x)(4 + x)

Multiply (4 + x) * (4 + x)
-29 + 18x = (4(4 + x) + x(4 + x))
-29 + 18x = ((4 * 4 + x * 4) + x(4 + x))
-29 + 18x = ((16 + 4x) + x(4 + x))
-29 + 18x = (16 + 4x + (4 * x + x * x))
-29 + 18x = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
-29 + 18x = (16 + 8x + x2)

Solving
-29 + 18x = 16 + 8x + x2

Solving for variable 'x'.

Reorder the terms:
-29 + -16 + 18x + -8x + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: -29 + -16 = -45
-45 + 18x + -8x + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Combine like terms: 18x + -8x = 10x
-45 + 10x + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
-45 + 10x + -1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-45 + 10x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-45 + 10x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-45 + 10x + -1x2 = 0 + x2 + -1x2
-45 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-45 + 10x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
45 + -10x + x2 = 0

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -10x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + -10x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -10x + x2 = 0 + -45
-10x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-10x + x2 = -45

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -45 + 25

Reorder the terms:
25 + -10x + x2 = -45 + 25

Combine like terms: -45 + 25 = -20
25 + -10x + x2 = -20

Factor a perfect square on the left side:
(x + -5)(x + -5) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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