(7x-9)*2=95-x+x*x

Solution for (7x-9)*2=95-x+x*x equation:

Simplifying
(7x + -9) * 2 = 95 + -1x + x * x

Reorder the terms:
(-9 + 7x) * 2 = 95 + -1x + x * x

Reorder the terms for easier multiplication:
2(-9 + 7x) = 95 + -1x + x * x
(-9 * 2 + 7x * 2) = 95 + -1x + x * x
(-18 + 14x) = 95 + -1x + x * x

Multiply x * x
-18 + 14x = 95 + -1x + x2

Solving
-18 + 14x = 95 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
-18 + -95 + 14x + x + -1x2 = 95 + -1x + x2 + -95 + x + -1x2

Combine like terms: -18 + -95 = -113
-113 + 14x + x + -1x2 = 95 + -1x + x2 + -95 + x + -1x2

Combine like terms: 14x + x = 15x
-113 + 15x + -1x2 = 95 + -1x + x2 + -95 + x + -1x2

Reorder the terms:
-113 + 15x + -1x2 = 95 + -95 + -1x + x + x2 + -1x2

Combine like terms: 95 + -95 = 0
-113 + 15x + -1x2 = 0 + -1x + x + x2 + -1x2
-113 + 15x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
-113 + 15x + -1x2 = 0 + x2 + -1x2
-113 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-113 + 15x + -1x2 = 0

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

Divide each side by '-1'.
113 + -15x + x2 = 0

Move the constant term to the right:

Add '-113' to each side of the equation.
113 + -15x + -113 + x2 = 0 + -113

Reorder the terms:
113 + -113 + -15x + x2 = 0 + -113

Combine like terms: 113 + -113 = 0
0 + -15x + x2 = 0 + -113
-15x + x2 = 0 + -113

Combine like terms: 0 + -113 = -113
-15x + x2 = -113

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = -113 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -113 + 56.25

Combine like terms: -113 + 56.25 = -56.75
56.25 + -15x + x2 = -56.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -56.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.