22x-5x^2=27-3x+12x^2

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Solution for 22x-5x^2=27-3x+12x^2 equation:


Simplifying
22x + -5x2 = 27 + -3x + 12x2

Solving
22x + -5x2 = 27 + -3x + 12x2

Solving for variable 'x'.

Reorder the terms:
-27 + 22x + 3x + -5x2 + -12x2 = 27 + -3x + 12x2 + -27 + 3x + -12x2

Combine like terms: 22x + 3x = 25x
-27 + 25x + -5x2 + -12x2 = 27 + -3x + 12x2 + -27 + 3x + -12x2

Combine like terms: -5x2 + -12x2 = -17x2
-27 + 25x + -17x2 = 27 + -3x + 12x2 + -27 + 3x + -12x2

Reorder the terms:
-27 + 25x + -17x2 = 27 + -27 + -3x + 3x + 12x2 + -12x2

Combine like terms: 27 + -27 = 0
-27 + 25x + -17x2 = 0 + -3x + 3x + 12x2 + -12x2
-27 + 25x + -17x2 = -3x + 3x + 12x2 + -12x2

Combine like terms: -3x + 3x = 0
-27 + 25x + -17x2 = 0 + 12x2 + -12x2
-27 + 25x + -17x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-27 + 25x + -17x2 = 0

Begin completing the square.  Divide all terms by
-17 the coefficient of the squared term: 

Divide each side by '-17'.
1.588235294 + -1.470588235x + x2 = 0

Move the constant term to the right:

Add '-1.588235294' to each side of the equation.
1.588235294 + -1.470588235x + -1.588235294 + x2 = 0 + -1.588235294

Reorder the terms:
1.588235294 + -1.588235294 + -1.470588235x + x2 = 0 + -1.588235294

Combine like terms: 1.588235294 + -1.588235294 = 0.000000000
0.000000000 + -1.470588235x + x2 = 0 + -1.588235294
-1.470588235x + x2 = 0 + -1.588235294

Combine like terms: 0 + -1.588235294 = -1.588235294
-1.470588235x + x2 = -1.588235294

The x term is -1.470588235x.  Take half its coefficient (-0.7352941175).
Square it (0.5406574392) and add it to both sides.

Add '0.5406574392' to each side of the equation.
-1.470588235x + 0.5406574392 + x2 = -1.588235294 + 0.5406574392

Reorder the terms:
0.5406574392 + -1.470588235x + x2 = -1.588235294 + 0.5406574392

Combine like terms: -1.588235294 + 0.5406574392 = -1.0475778548
0.5406574392 + -1.470588235x + x2 = -1.0475778548

Factor a perfect square on the left side:
(x + -0.7352941175)(x + -0.7352941175) = -1.0475778548

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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