2=3(x-3)x+20+5x

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Solution for 2=3(x-3)x+20+5x equation:


Simplifying
2 = 3(x + -3) * x + 20 + 5x

Reorder the terms:
2 = 3(-3 + x) * x + 20 + 5x

Reorder the terms for easier multiplication:
2 = 3x(-3 + x) + 20 + 5x
2 = (-3 * 3x + x * 3x) + 20 + 5x
2 = (-9x + 3x2) + 20 + 5x

Reorder the terms:
2 = 20 + -9x + 5x + 3x2

Combine like terms: -9x + 5x = -4x
2 = 20 + -4x + 3x2

Solving
2 = 20 + -4x + 3x2

Solving for variable 'x'.

Combine like terms: 2 + -20 = -18
-18 + 4x + -3x2 = 20 + -4x + 3x2 + -20 + 4x + -3x2

Reorder the terms:
-18 + 4x + -3x2 = 20 + -20 + -4x + 4x + 3x2 + -3x2

Combine like terms: 20 + -20 = 0
-18 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2
-18 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
-18 + 4x + -3x2 = 0 + 3x2 + -3x2
-18 + 4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-18 + 4x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
6 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1.333333333x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -1.333333333x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1.333333333x + x2 = 0 + -6
-1.333333333x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1.333333333x + x2 = -6

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -6 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -6 + 0.4444444442

Combine like terms: -6 + 0.4444444442 = -5.5555555558
0.4444444442 + -1.333333333x + x2 = -5.5555555558

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -5.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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