3x^2-11x=-7x-4

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Solution for 3x^2-11x=-7x-4 equation: 


Simplifying
3x2 + -11x = -7x + -4

Reorder the terms:
-11x + 3x2 = -7x + -4

Reorder the terms:
-11x + 3x2 = -4 + -7x

Solving
-11x + 3x2 = -4 + -7x

Solving for variable 'x'.

Reorder the terms:
4 + -11x + 7x + 3x2 = -4 + -7x + 4 + 7x

Combine like terms: -11x + 7x = -4x
4 + -4x + 3x2 = -4 + -7x + 4 + 7x

Reorder the terms:
4 + -4x + 3x2 = -4 + 4 + -7x + 7x

Combine like terms: -4 + 4 = 0
4 + -4x + 3x2 = 0 + -7x + 7x
4 + -4x + 3x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
4 + -4x + 3x2 = 0

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

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

Move the constant term to the right:

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

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

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -1.333333333
-1.333333333x + x2 = 0 + -1.333333333

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

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 = -1.333333333 + 0.4444444442

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

Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888
0.4444444442 + -1.333333333x + x2 = -0.8888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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