(7x^2-3x+2)-(5x^2-3x-6)=

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Solution for (7x^2-3x+2)-(5x^2-3x-6)= equation:


Simplifying
(7x2 + -3x + 2) + -1(5x2 + -3x + -6) = 0

Reorder the terms:
(2 + -3x + 7x2) + -1(5x2 + -3x + -6) = 0

Remove parenthesis around (2 + -3x + 7x2)
2 + -3x + 7x2 + -1(5x2 + -3x + -6) = 0

Reorder the terms:
2 + -3x + 7x2 + -1(-6 + -3x + 5x2) = 0
2 + -3x + 7x2 + (-6 * -1 + -3x * -1 + 5x2 * -1) = 0
2 + -3x + 7x2 + (6 + 3x + -5x2) = 0

Reorder the terms:
2 + 6 + -3x + 3x + 7x2 + -5x2 = 0

Combine like terms: 2 + 6 = 8
8 + -3x + 3x + 7x2 + -5x2 = 0

Combine like terms: -3x + 3x = 0
8 + 0 + 7x2 + -5x2 = 0
8 + 7x2 + -5x2 = 0

Combine like terms: 7x2 + -5x2 = 2x2
8 + 2x2 = 0

Solving
8 + 2x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 2x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 = 0 + -8
2x2 = 0 + -8

Combine like terms: 0 + -8 = -8
2x2 = -8

Divide each side by '2'.
x2 = -4

Simplifying
x2 = -4

Reorder the terms:
4 + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + x2 = 0

The solution to this equation could not be determined.

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