(5x^2-6x+10)+(2x^2+4x-8)=0

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Solution for (5x^2-6x+10)+(2x^2+4x-8)=0 equation:


Simplifying
(5x2 + -6x + 10) + (2x2 + 4x + -8) = 0

Reorder the terms:
(10 + -6x + 5x2) + (2x2 + 4x + -8) = 0

Remove parenthesis around (10 + -6x + 5x2)
10 + -6x + 5x2 + (2x2 + 4x + -8) = 0

Reorder the terms:
10 + -6x + 5x2 + (-8 + 4x + 2x2) = 0

Remove parenthesis around (-8 + 4x + 2x2)
10 + -6x + 5x2 + -8 + 4x + 2x2 = 0

Reorder the terms:
10 + -8 + -6x + 4x + 5x2 + 2x2 = 0

Combine like terms: 10 + -8 = 2
2 + -6x + 4x + 5x2 + 2x2 = 0

Combine like terms: -6x + 4x = -2x
2 + -2x + 5x2 + 2x2 = 0

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

Solving
2 + -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'.
0.2857142857 + -0.2857142857x + x2 = 0

Move the constant term to the right:

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

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

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

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

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 = -0.2857142857 + 0.02040816328

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

Combine like terms: -0.2857142857 + 0.02040816328 = -0.26530612242
0.02040816328 + -0.2857142857x + x2 = -0.26530612242

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.26530612242

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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