(2x^2+2x+4)-(17x^2-8x+11)=

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Solution for (2x^2+2x+4)-(17x^2-8x+11)= equation: 


Simplifying
(2x2 + 2x + 4) + -1(17x2 + -8x + 11) = 0

Reorder the terms:
(4 + 2x + 2x2) + -1(17x2 + -8x + 11) = 0

Remove parenthesis around (4 + 2x + 2x2)
4 + 2x + 2x2 + -1(17x2 + -8x + 11) = 0

Reorder the terms:
4 + 2x + 2x2 + -1(11 + -8x + 17x2) = 0
4 + 2x + 2x2 + (11 * -1 + -8x * -1 + 17x2 * -1) = 0
4 + 2x + 2x2 + (-11 + 8x + -17x2) = 0

Reorder the terms:
4 + -11 + 2x + 8x + 2x2 + -17x2 = 0

Combine like terms: 4 + -11 = -7
-7 + 2x + 8x + 2x2 + -17x2 = 0

Combine like terms: 2x + 8x = 10x
-7 + 10x + 2x2 + -17x2 = 0

Combine like terms: 2x2 + -17x2 = -15x2
-7 + 10x + -15x2 = 0

Solving
-7 + 10x + -15x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.4666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.6666666667x + -0.4666666667 + x2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + -0.6666666667x + x2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.4666666667
-0.6666666667x + x2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
-0.6666666667x + x2 = -0.4666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -0.4666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.4666666667 + 0.1111111112

Combine like terms: -0.4666666667 + 0.1111111112 = -0.3555555555
0.1111111112 + -0.6666666667x + x2 = -0.3555555555

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.3555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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