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

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


Simplifying
(5x2 + -2x + 9) + (2x2 + -4) = 0

Reorder the terms:
(9 + -2x + 5x2) + (2x2 + -4) = 0

Remove parenthesis around (9 + -2x + 5x2)
9 + -2x + 5x2 + (2x2 + -4) = 0

Reorder the terms:
9 + -2x + 5x2 + (-4 + 2x2) = 0

Remove parenthesis around (-4 + 2x2)
9 + -2x + 5x2 + -4 + 2x2 = 0

Reorder the terms:
9 + -4 + -2x + 5x2 + 2x2 = 0

Combine like terms: 9 + -4 = 5
5 + -2x + 5x2 + 2x2 = 0

Combine like terms: 5x2 + 2x2 = 7x2
5 + -2x + 7x2 = 0

Solving
5 + -2x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.7142857143 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + -0.2857142857x + -0.7142857143 + x2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + -0.2857142857x + x2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + -0.2857142857x + x2 = 0 + -0.7142857143
-0.2857142857x + x2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
-0.2857142857x + x2 = -0.7142857143

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -0.7142857143 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -0.7142857143 + 0.02040816328

Combine like terms: -0.7142857143 + 0.02040816328 = -0.69387755102
0.02040816328 + -0.2857142857x + x2 = -0.69387755102

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.69387755102

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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