(5x^2-7x-9)+(3x^2-5x+8)-(x^2-5x-3)=

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Solution for (5x^2-7x-9)+(3x^2-5x+8)-(x^2-5x-3)= equation:


Simplifying
(5x2 + -7x + -9) + (3x2 + -5x + 8) + -1(x2 + -5x + -3) = 0

Reorder the terms:
(-9 + -7x + 5x2) + (3x2 + -5x + 8) + -1(x2 + -5x + -3) = 0

Remove parenthesis around (-9 + -7x + 5x2)
-9 + -7x + 5x2 + (3x2 + -5x + 8) + -1(x2 + -5x + -3) = 0

Reorder the terms:
-9 + -7x + 5x2 + (8 + -5x + 3x2) + -1(x2 + -5x + -3) = 0

Remove parenthesis around (8 + -5x + 3x2)
-9 + -7x + 5x2 + 8 + -5x + 3x2 + -1(x2 + -5x + -3) = 0

Reorder the terms:
-9 + -7x + 5x2 + 8 + -5x + 3x2 + -1(-3 + -5x + x2) = 0
-9 + -7x + 5x2 + 8 + -5x + 3x2 + (-3 * -1 + -5x * -1 + x2 * -1) = 0
-9 + -7x + 5x2 + 8 + -5x + 3x2 + (3 + 5x + -1x2) = 0

Reorder the terms:
-9 + 8 + 3 + -7x + -5x + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: -9 + 8 = -1
-1 + 3 + -7x + -5x + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: -1 + 3 = 2
2 + -7x + -5x + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: -7x + -5x = -12x
2 + -12x + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: -12x + 5x = -7x
2 + -7x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
2 + -7x + 8x2 + -1x2 = 0

Combine like terms: 8x2 + -1x2 = 7x2
2 + -7x + 7x2 = 0

Solving
2 + -7x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.2857142857 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -1x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -1x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.2857142857
-1x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-1x + x2 = -0.2857142857

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.2857142857 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.2857142857 + 0.25

Combine like terms: -0.2857142857 + 0.25 = -0.0357142857
0.25 + -1x + x2 = -0.0357142857

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.0357142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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