(6f^2-9f+10)-(-2f^2-f+3)=

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Solution for (6f^2-9f+10)-(-2f^2-f+3)= equation:


Simplifying
(6f2 + -9f + 10) + -1(-2f2 + -1f + 3) = 0

Reorder the terms:
(10 + -9f + 6f2) + -1(-2f2 + -1f + 3) = 0

Remove parenthesis around (10 + -9f + 6f2)
10 + -9f + 6f2 + -1(-2f2 + -1f + 3) = 0

Reorder the terms:
10 + -9f + 6f2 + -1(3 + -1f + -2f2) = 0
10 + -9f + 6f2 + (3 * -1 + -1f * -1 + -2f2 * -1) = 0
10 + -9f + 6f2 + (-3 + 1f + 2f2) = 0

Reorder the terms:
10 + -3 + -9f + 1f + 6f2 + 2f2 = 0

Combine like terms: 10 + -3 = 7
7 + -9f + 1f + 6f2 + 2f2 = 0

Combine like terms: -9f + 1f = -8f
7 + -8f + 6f2 + 2f2 = 0

Combine like terms: 6f2 + 2f2 = 8f2
7 + -8f + 8f2 = 0

Solving
7 + -8f + 8f2 = 0

Solving for variable 'f'.

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

Divide each side by '8'.
0.875 + -1f + f2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -1f + -0.875 + f2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -1f + f2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -1f + f2 = 0 + -0.875
-1f + f2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-1f + f2 = -0.875

The f term is -1f.  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.
-1f + 0.25 + f2 = -0.875 + 0.25

Reorder the terms:
0.25 + -1f + f2 = -0.875 + 0.25

Combine like terms: -0.875 + 0.25 = -0.625
0.25 + -1f + f2 = -0.625

Factor a perfect square on the left side:
(f + -0.5)(f + -0.5) = -0.625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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