9x^2-4x+4=-12+3

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Solution for 9x^2-4x+4=-12+3 equation:


Simplifying
9x2 + -4x + 4 = -12 + 3

Reorder the terms:
4 + -4x + 9x2 = -12 + 3

Combine like terms: -12 + 3 = -9
4 + -4x + 9x2 = -9

Solving
4 + -4x + 9x2 = -9

Solving for variable 'x'.

Reorder the terms:
4 + 9 + -4x + 9x2 = -9 + 9

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

Combine like terms: -9 + 9 = 0
13 + -4x + 9x2 = 0

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

Divide each side by '9'.
1.444444444 + -0.4444444444x + x2 = 0

Move the constant term to the right:

Add '-1.444444444' to each side of the equation.
1.444444444 + -0.4444444444x + -1.444444444 + x2 = 0 + -1.444444444

Reorder the terms:
1.444444444 + -1.444444444 + -0.4444444444x + x2 = 0 + -1.444444444

Combine like terms: 1.444444444 + -1.444444444 = 0.000000000
0.000000000 + -0.4444444444x + x2 = 0 + -1.444444444
-0.4444444444x + x2 = 0 + -1.444444444

Combine like terms: 0 + -1.444444444 = -1.444444444
-0.4444444444x + x2 = -1.444444444

The x term is -0.4444444444x.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444x + 0.04938271604 + x2 = -1.444444444 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444x + x2 = -1.444444444 + 0.04938271604

Combine like terms: -1.444444444 + 0.04938271604 = -1.39506172796
0.04938271604 + -0.4444444444x + x2 = -1.39506172796

Factor a perfect square on the left side:
(x + -0.2222222222)(x + -0.2222222222) = -1.39506172796

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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