(2x^2+3x-2)+(-4x+3)+(-4x^2+6x-7)=0

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Solution for (2x^2+3x-2)+(-4x+3)+(-4x^2+6x-7)=0 equation: 


Simplifying
(2x2 + 3x + -2) + (-4x + 3) + (-4x2 + 6x + -7) = 0

Reorder the terms:
(-2 + 3x + 2x2) + (-4x + 3) + (-4x2 + 6x + -7) = 0

Remove parenthesis around (-2 + 3x + 2x2)
-2 + 3x + 2x2 + (-4x + 3) + (-4x2 + 6x + -7) = 0

Reorder the terms:
-2 + 3x + 2x2 + (3 + -4x) + (-4x2 + 6x + -7) = 0

Remove parenthesis around (3 + -4x)
-2 + 3x + 2x2 + 3 + -4x + (-4x2 + 6x + -7) = 0

Reorder the terms:
-2 + 3x + 2x2 + 3 + -4x + (-7 + 6x + -4x2) = 0

Remove parenthesis around (-7 + 6x + -4x2)
-2 + 3x + 2x2 + 3 + -4x + -7 + 6x + -4x2 = 0

Reorder the terms:
-2 + 3 + -7 + 3x + -4x + 6x + 2x2 + -4x2 = 0

Combine like terms: -2 + 3 = 1
1 + -7 + 3x + -4x + 6x + 2x2 + -4x2 = 0

Combine like terms: 1 + -7 = -6
-6 + 3x + -4x + 6x + 2x2 + -4x2 = 0

Combine like terms: 3x + -4x = -1x
-6 + -1x + 6x + 2x2 + -4x2 = 0

Combine like terms: -1x + 6x = 5x
-6 + 5x + 2x2 + -4x2 = 0

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

Solving
-6 + 5x + -2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5x + x2 = 0 + -3
-2.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.5x + x2 = -3

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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