9x+23-2x^2=3x+10-3x^2

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Solution for 9x+23-2x^2=3x+10-3x^2 equation: 


Simplifying
9x + 23 + -2x2 = 3x + 10 + -3x2

Reorder the terms:
23 + 9x + -2x2 = 3x + 10 + -3x2

Reorder the terms:
23 + 9x + -2x2 = 10 + 3x + -3x2

Solving
23 + 9x + -2x2 = 10 + 3x + -3x2

Solving for variable 'x'.

Reorder the terms:
23 + -10 + 9x + -3x + -2x2 + 3x2 = 10 + 3x + -3x2 + -10 + -3x + 3x2

Combine like terms: 23 + -10 = 13
13 + 9x + -3x + -2x2 + 3x2 = 10 + 3x + -3x2 + -10 + -3x + 3x2

Combine like terms: 9x + -3x = 6x
13 + 6x + -2x2 + 3x2 = 10 + 3x + -3x2 + -10 + -3x + 3x2

Combine like terms: -2x2 + 3x2 = 1x2
13 + 6x + 1x2 = 10 + 3x + -3x2 + -10 + -3x + 3x2

Reorder the terms:
13 + 6x + 1x2 = 10 + -10 + 3x + -3x + -3x2 + 3x2

Combine like terms: 10 + -10 = 0
13 + 6x + 1x2 = 0 + 3x + -3x + -3x2 + 3x2
13 + 6x + 1x2 = 3x + -3x + -3x2 + 3x2

Combine like terms: 3x + -3x = 0
13 + 6x + 1x2 = 0 + -3x2 + 3x2
13 + 6x + 1x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
13 + 6x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 6x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + 6x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6x + x2 = 0 + -13
6x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
6x + x2 = -13

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -13 + 9

Reorder the terms:
9 + 6x + x2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + 6x + x2 = -4

Factor a perfect square on the left side:
(x + 3)(x + 3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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