-7x-45=(9-x)(9-x)

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Solution for -7x-45=(9-x)(9-x) equation: 


Simplifying
-7x + -45 = (9 + -1x)(9 + -1x)

Reorder the terms:
-45 + -7x = (9 + -1x)(9 + -1x)

Multiply (9 + -1x) * (9 + -1x)
-45 + -7x = (9(9 + -1x) + -1x * (9 + -1x))
-45 + -7x = ((9 * 9 + -1x * 9) + -1x * (9 + -1x))
-45 + -7x = ((81 + -9x) + -1x * (9 + -1x))
-45 + -7x = (81 + -9x + (9 * -1x + -1x * -1x))
-45 + -7x = (81 + -9x + (-9x + 1x2))

Combine like terms: -9x + -9x = -18x
-45 + -7x = (81 + -18x + 1x2)

Solving
-45 + -7x = 81 + -18x + 1x2

Solving for variable 'x'.

Reorder the terms:
-45 + -81 + -7x + 18x + -1x2 = 81 + -18x + 1x2 + -81 + 18x + -1x2

Combine like terms: -45 + -81 = -126
-126 + -7x + 18x + -1x2 = 81 + -18x + 1x2 + -81 + 18x + -1x2

Combine like terms: -7x + 18x = 11x
-126 + 11x + -1x2 = 81 + -18x + 1x2 + -81 + 18x + -1x2

Reorder the terms:
-126 + 11x + -1x2 = 81 + -81 + -18x + 18x + 1x2 + -1x2

Combine like terms: 81 + -81 = 0
-126 + 11x + -1x2 = 0 + -18x + 18x + 1x2 + -1x2
-126 + 11x + -1x2 = -18x + 18x + 1x2 + -1x2

Combine like terms: -18x + 18x = 0
-126 + 11x + -1x2 = 0 + 1x2 + -1x2
-126 + 11x + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-126 + 11x + -1x2 = 0

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

Divide each side by '-1'.
126 + -11x + x2 = 0

Move the constant term to the right:

Add '-126' to each side of the equation.
126 + -11x + -126 + x2 = 0 + -126

Reorder the terms:
126 + -126 + -11x + x2 = 0 + -126

Combine like terms: 126 + -126 = 0
0 + -11x + x2 = 0 + -126
-11x + x2 = 0 + -126

Combine like terms: 0 + -126 = -126
-11x + x2 = -126

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -126 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -126 + 30.25

Combine like terms: -126 + 30.25 = -95.75
30.25 + -11x + x2 = -95.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -95.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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