(3x^2+2x+1)+(5x^2-7x)=0

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Solution for (3x^2+2x+1)+(5x^2-7x)=0 equation: 


Simplifying
(3x2 + 2x + 1) + (5x2 + -7x) = 0

Reorder the terms:
(1 + 2x + 3x2) + (5x2 + -7x) = 0

Remove parenthesis around (1 + 2x + 3x2)
1 + 2x + 3x2 + (5x2 + -7x) = 0

Reorder the terms:
1 + 2x + 3x2 + (-7x + 5x2) = 0

Remove parenthesis around (-7x + 5x2)
1 + 2x + 3x2 + -7x + 5x2 = 0

Reorder the terms:
1 + 2x + -7x + 3x2 + 5x2 = 0

Combine like terms: 2x + -7x = -5x
1 + -5x + 3x2 + 5x2 = 0

Combine like terms: 3x2 + 5x2 = 8x2
1 + -5x + 8x2 = 0

Solving
1 + -5x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.125 + -0.625x + x2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + -0.625x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + -0.625x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + -0.625x + x2 = 0 + -0.125
-0.625x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
-0.625x + x2 = -0.125

The x term is -0.625x.  Take half its coefficient (-0.3125).
Square it (0.09765625) and add it to both sides.

Add '0.09765625' to each side of the equation.
-0.625x + 0.09765625 + x2 = -0.125 + 0.09765625

Reorder the terms:
0.09765625 + -0.625x + x2 = -0.125 + 0.09765625

Combine like terms: -0.125 + 0.09765625 = -0.02734375
0.09765625 + -0.625x + x2 = -0.02734375

Factor a perfect square on the left side:
(x + -0.3125)(x + -0.3125) = -0.02734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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