2x^2-7x+9=(x-3)(x+1)+3

Solution for 2x^2-7x+9=(x-3)(x+1)+3 equation:

Simplifying
2x2 + -7x + 9 = (x + -3)(x + 1) + 3

Reorder the terms:
9 + -7x + 2x2 = (x + -3)(x + 1) + 3

Reorder the terms:
9 + -7x + 2x2 = (-3 + x)(x + 1) + 3

Reorder the terms:
9 + -7x + 2x2 = (-3 + x)(1 + x) + 3

Multiply (-3 + x) * (1 + x)
9 + -7x + 2x2 = (-3(1 + x) + x(1 + x)) + 3
9 + -7x + 2x2 = ((1 * -3 + x * -3) + x(1 + x)) + 3
9 + -7x + 2x2 = ((-3 + -3x) + x(1 + x)) + 3
9 + -7x + 2x2 = (-3 + -3x + (1 * x + x * x)) + 3
9 + -7x + 2x2 = (-3 + -3x + (1x + x2)) + 3

Combine like terms: -3x + 1x = -2x
9 + -7x + 2x2 = (-3 + -2x + x2) + 3

Reorder the terms:
9 + -7x + 2x2 = -3 + 3 + -2x + x2

Combine like terms: -3 + 3 = 0
9 + -7x + 2x2 = 0 + -2x + x2
9 + -7x + 2x2 = -2x + x2

Solving
9 + -7x + 2x2 = -2x + x2

Solving for variable 'x'.

Reorder the terms:
9 + -7x + 2x + 2x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: -7x + 2x = -5x
9 + -5x + 2x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
9 + -5x + 1x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
9 + -5x + 1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
9 + -5x + 1x2 = 0 + x2 + -1x2
9 + -5x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -5x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -5x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -5x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x + x2 = 0 + -9
-5x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-5x + x2 = -9

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -9 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -9 + 6.25

Combine like terms: -9 + 6.25 = -2.75
6.25 + -5x + x2 = -2.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.