(3x^2+4x-1)+(2x^2-3x+2)=0

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Solution for (3x^2+4x-1)+(2x^2-3x+2)=0 equation: 


Simplifying
(3x2 + 4x + -1) + (2x2 + -3x + 2) = 0

Reorder the terms:
(-1 + 4x + 3x2) + (2x2 + -3x + 2) = 0

Remove parenthesis around (-1 + 4x + 3x2)
-1 + 4x + 3x2 + (2x2 + -3x + 2) = 0

Reorder the terms:
-1 + 4x + 3x2 + (2 + -3x + 2x2) = 0

Remove parenthesis around (2 + -3x + 2x2)
-1 + 4x + 3x2 + 2 + -3x + 2x2 = 0

Reorder the terms:
-1 + 2 + 4x + -3x + 3x2 + 2x2 = 0

Combine like terms: -1 + 2 = 1
1 + 4x + -3x + 3x2 + 2x2 = 0

Combine like terms: 4x + -3x = 1x
1 + 1x + 3x2 + 2x2 = 0

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

Solving
1 + 1x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
0.2 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.2x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.2x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.2x + x2 = 0 + -0.2
0.2x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.2x + x2 = -0.2

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -0.2 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -0.2 + 0.01

Combine like terms: -0.2 + 0.01 = -0.19
0.01 + 0.2x + x2 = -0.19

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -0.19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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