-(x^2)-x-30=(2x^2)-9x+4

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Solution for -(x^2)-x-30=(2x^2)-9x+4 equation: 


Simplifying
-1(x2) + -1x + -30 = (2x2) + -9x + 4

Reorder the terms:
-30 + -1x + -1x2 = (2x2) + -9x + 4

Reorder the terms:
-30 + -1x + -1x2 = 4 + -9x + (2x2)

Solving
-30 + -1x + -1x2 = 4 + -9x + (2x2)

Solving for variable 'x'.

Reorder the terms:
-30 + -4 + -1x + 9x + -1x2 + (-2x2) = 4 + -9x + (2x2) + -4 + 9x + (-2x2)

Combine like terms: -30 + -4 = -34
-34 + -1x + 9x + -1x2 + (-2x2) = 4 + -9x + (2x2) + -4 + 9x + (-2x2)

Combine like terms: -1x + 9x = 8x
-34 + 8x + -1x2 + (-2x2) = 4 + -9x + (2x2) + -4 + 9x + (-2x2)

Combine like terms: -1x2 + (-2x2) = -3x2
-34 + 8x + -3x2 = 4 + -9x + (2x2) + -4 + 9x + (-2x2)

Reorder the terms:
-34 + 8x + -3x2 = 4 + -4 + -9x + 9x + (2x2) + (-2x2)

Combine like terms: 4 + -4 = 0
-34 + 8x + -3x2 = 0 + -9x + 9x + (2x2) + (-2x2)
-34 + 8x + -3x2 = -9x + 9x + (2x2) + (-2x2)

Combine like terms: -9x + 9x = 0
-34 + 8x + -3x2 = 0 + (2x2) + (-2x2)
-34 + 8x + -3x2 = (2x2) + (-2x2)

Combine like terms: (2x2) + (-2x2) = 0
-34 + 8x + -3x2 = 0

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

Divide each side by '-3'.
11.33333333 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-11.33333333' to each side of the equation.
11.33333333 + -2.666666667x + -11.33333333 + x2 = 0 + -11.33333333

Reorder the terms:
11.33333333 + -11.33333333 + -2.666666667x + x2 = 0 + -11.33333333

Combine like terms: 11.33333333 + -11.33333333 = 0.00000000
0.00000000 + -2.666666667x + x2 = 0 + -11.33333333
-2.666666667x + x2 = 0 + -11.33333333

Combine like terms: 0 + -11.33333333 = -11.33333333
-2.666666667x + x2 = -11.33333333

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -11.33333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -11.33333333 + 1.777777780

Combine like terms: -11.33333333 + 1.777777780 = -9.55555555
1.777777780 + -2.666666667x + x2 = -9.55555555

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -9.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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