(5x^2-4x+4)+(x^2+9x)=

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Solution for (5x^2-4x+4)+(x^2+9x)= equation:


Simplifying
(5x2 + -4x + 4) + (x2 + 9x) = 0

Reorder the terms:
(4 + -4x + 5x2) + (x2 + 9x) = 0

Remove parenthesis around (4 + -4x + 5x2)
4 + -4x + 5x2 + (x2 + 9x) = 0

Reorder the terms:
4 + -4x + 5x2 + (9x + x2) = 0

Remove parenthesis around (9x + x2)
4 + -4x + 5x2 + 9x + x2 = 0

Reorder the terms:
4 + -4x + 9x + 5x2 + x2 = 0

Combine like terms: -4x + 9x = 5x
4 + 5x + 5x2 + x2 = 0

Combine like terms: 5x2 + x2 = 6x2
4 + 5x + 6x2 = 0

Solving
4 + 5x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
0.6666666667 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.8333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.8333333333x + x2 = 0 + -0.6666666667
0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.8333333333x + x2 = -0.6666666667

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -0.6666666667 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -0.6666666667 + 0.1736111111

Combine like terms: -0.6666666667 + 0.1736111111 = -0.4930555556
0.1736111111 + 0.8333333333x + x2 = -0.4930555556

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -0.4930555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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