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

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


Simplifying
(2x2 + -3x + 7) + -1(-3x2 + 4x + -7) = 0

Reorder the terms:
(7 + -3x + 2x2) + -1(-3x2 + 4x + -7) = 0

Remove parenthesis around (7 + -3x + 2x2)
7 + -3x + 2x2 + -1(-3x2 + 4x + -7) = 0

Reorder the terms:
7 + -3x + 2x2 + -1(-7 + 4x + -3x2) = 0
7 + -3x + 2x2 + (-7 * -1 + 4x * -1 + -3x2 * -1) = 0
7 + -3x + 2x2 + (7 + -4x + 3x2) = 0

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

Combine like terms: 7 + 7 = 14
14 + -3x + -4x + 2x2 + 3x2 = 0

Combine like terms: -3x + -4x = -7x
14 + -7x + 2x2 + 3x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
14 + -7x + 5x2 = 0

Solving
14 + -7x + 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'.
2.8 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + -1.4x + -2.8 + x2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + -1.4x + x2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -1.4x + x2 = 0 + -2.8
-1.4x + x2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
-1.4x + x2 = -2.8

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -2.8 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -2.8 + 0.49

Combine like terms: -2.8 + 0.49 = -2.31
0.49 + -1.4x + x2 = -2.31

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -2.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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