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

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


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

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

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

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

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

Combine like terms: 2 + 7 = 9
9 + -5x + 3x + 3x2 + -2x2 = 0

Combine like terms: -5x + 3x = -2x
9 + -2x + 3x2 + -2x2 = 0

Combine like terms: 3x2 + -2x2 = 1x2
9 + -2x + 1x2 = 0

Solving
9 + -2x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -2x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -2x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x + x2 = 0 + -9
-2x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2x + x2 = -9

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -9 + 1

Reorder the terms:
1 + -2x + x2 = -9 + 1

Combine like terms: -9 + 1 = -8
1 + -2x + x2 = -8

Factor a perfect square on the left side:
(x + -1)(x + -1) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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