2x^2-9x+12=-2x+2

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Solution for 2x^2-9x+12=-2x+2 equation: 


Simplifying
2x2 + -9x + 12 = -2x + 2

Reorder the terms:
12 + -9x + 2x2 = -2x + 2

Reorder the terms:
12 + -9x + 2x2 = 2 + -2x

Solving
12 + -9x + 2x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
12 + -2 + -9x + 2x + 2x2 = 2 + -2x + -2 + 2x

Combine like terms: 12 + -2 = 10
10 + -9x + 2x + 2x2 = 2 + -2x + -2 + 2x

Combine like terms: -9x + 2x = -7x
10 + -7x + 2x2 = 2 + -2x + -2 + 2x

Reorder the terms:
10 + -7x + 2x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
10 + -7x + 2x2 = 0 + -2x + 2x
10 + -7x + 2x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
10 + -7x + 2x2 = 0

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

Divide each side by '2'.
5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -3.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -3.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3.5x + x2 = 0 + -5
-3.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3.5x + x2 = -5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -5 + 3.0625

Combine like terms: -5 + 3.0625 = -1.9375
3.0625 + -3.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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