3x^2-4x=-1000

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Solution for 3x^2-4x=-1000 equation:


Simplifying
3x2 + -4x = -1000

Reorder the terms:
-4x + 3x2 = -1000

Solving
-4x + 3x2 = -1000

Solving for variable 'x'.

Reorder the terms:
1000 + -4x + 3x2 = -1000 + 1000

Combine like terms: -1000 + 1000 = 0
1000 + -4x + 3x2 = 0

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

Divide each side by '3'.
333.3333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-333.3333333' to each side of the equation.
333.3333333 + -1.333333333x + -333.3333333 + x2 = 0 + -333.3333333

Reorder the terms:
333.3333333 + -333.3333333 + -1.333333333x + x2 = 0 + -333.3333333

Combine like terms: 333.3333333 + -333.3333333 = 0.0000000
0.0000000 + -1.333333333x + x2 = 0 + -333.3333333
-1.333333333x + x2 = 0 + -333.3333333

Combine like terms: 0 + -333.3333333 = -333.3333333
-1.333333333x + x2 = -333.3333333

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 = -333.3333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -333.3333333 + 0.4444444442

Combine like terms: -333.3333333 + 0.4444444442 = -332.8888888558
0.4444444442 + -1.333333333x + x2 = -332.8888888558

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -332.8888888558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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