(2x^2+2x-9)+(-5x^2+2x-8)=

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Solution for (2x^2+2x-9)+(-5x^2+2x-8)= equation:


Simplifying
(2x2 + 2x + -9) + (-5x2 + 2x + -8) = 0

Reorder the terms:
(-9 + 2x + 2x2) + (-5x2 + 2x + -8) = 0

Remove parenthesis around (-9 + 2x + 2x2)
-9 + 2x + 2x2 + (-5x2 + 2x + -8) = 0

Reorder the terms:
-9 + 2x + 2x2 + (-8 + 2x + -5x2) = 0

Remove parenthesis around (-8 + 2x + -5x2)
-9 + 2x + 2x2 + -8 + 2x + -5x2 = 0

Reorder the terms:
-9 + -8 + 2x + 2x + 2x2 + -5x2 = 0

Combine like terms: -9 + -8 = -17
-17 + 2x + 2x + 2x2 + -5x2 = 0

Combine like terms: 2x + 2x = 4x
-17 + 4x + 2x2 + -5x2 = 0

Combine like terms: 2x2 + -5x2 = -3x2
-17 + 4x + -3x2 = 0

Solving
-17 + 4x + -3x2 = 0

Solving for variable 'x'.

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

Divide each side by '-3'.
5.666666667 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + -1.333333333x + -5.666666667 + x2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + -1.333333333x + x2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -5.666666667
-1.333333333x + x2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
-1.333333333x + x2 = -5.666666667

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 = -5.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -5.666666667 + 0.4444444442

Combine like terms: -5.666666667 + 0.4444444442 = -5.2222222228
0.4444444442 + -1.333333333x + x2 = -5.2222222228

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -5.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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