4x^2-8x+9=3x^2-6x-11

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Solution for 4x^2-8x+9=3x^2-6x-11 equation: 


Simplifying
4x2 + -8x + 9 = 3x2 + -6x + -11

Reorder the terms:
9 + -8x + 4x2 = 3x2 + -6x + -11

Reorder the terms:
9 + -8x + 4x2 = -11 + -6x + 3x2

Solving
9 + -8x + 4x2 = -11 + -6x + 3x2

Solving for variable 'x'.

Reorder the terms:
9 + 11 + -8x + 6x + 4x2 + -3x2 = -11 + -6x + 3x2 + 11 + 6x + -3x2

Combine like terms: 9 + 11 = 20
20 + -8x + 6x + 4x2 + -3x2 = -11 + -6x + 3x2 + 11 + 6x + -3x2

Combine like terms: -8x + 6x = -2x
20 + -2x + 4x2 + -3x2 = -11 + -6x + 3x2 + 11 + 6x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
20 + -2x + 1x2 = -11 + -6x + 3x2 + 11 + 6x + -3x2

Reorder the terms:
20 + -2x + 1x2 = -11 + 11 + -6x + 6x + 3x2 + -3x2

Combine like terms: -11 + 11 = 0
20 + -2x + 1x2 = 0 + -6x + 6x + 3x2 + -3x2
20 + -2x + 1x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
20 + -2x + 1x2 = 0 + 3x2 + -3x2
20 + -2x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -2x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -2x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -2x + x2 = 0 + -20
-2x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-2x + x2 = -20

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -20 + 1

Reorder the terms:
1 + -2x + x2 = -20 + 1

Combine like terms: -20 + 1 = -19
1 + -2x + x2 = -19

Factor a perfect square on the left side:
(x + -1)(x + -1) = -19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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