=(a^2-2a+7)-(-2a^2+3)

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


Simplifying
0 = (a2 + -2a + 7) + -1(-2a2 + 3)

Reorder the terms:
0 = (7 + -2a + a2) + -1(-2a2 + 3)

Remove parenthesis around (7 + -2a + a2)
0 = 7 + -2a + a2 + -1(-2a2 + 3)

Reorder the terms:
0 = 7 + -2a + a2 + -1(3 + -2a2)
0 = 7 + -2a + a2 + (3 * -1 + -2a2 * -1)
0 = 7 + -2a + a2 + (-3 + 2a2)

Reorder the terms:
0 = 7 + -3 + -2a + a2 + 2a2

Combine like terms: 7 + -3 = 4
0 = 4 + -2a + a2 + 2a2

Combine like terms: a2 + 2a2 = 3a2
0 = 4 + -2a + 3a2

Solving
0 = 4 + -2a + 3a2

Solving for variable 'a'.

Combine like terms: 0 + -4 = -4
-4 + 2a + -3a2 = 4 + -2a + 3a2 + -4 + 2a + -3a2

Reorder the terms:
-4 + 2a + -3a2 = 4 + -4 + -2a + 2a + 3a2 + -3a2

Combine like terms: 4 + -4 = 0
-4 + 2a + -3a2 = 0 + -2a + 2a + 3a2 + -3a2
-4 + 2a + -3a2 = -2a + 2a + 3a2 + -3a2

Combine like terms: -2a + 2a = 0
-4 + 2a + -3a2 = 0 + 3a2 + -3a2
-4 + 2a + -3a2 = 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
-4 + 2a + -3a2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.333333333 + -0.6666666667a + a2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.6666666667a + -1.333333333 + a2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.6666666667a + a2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.6666666667a + a2 = 0 + -1.333333333
-0.6666666667a + a2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.6666666667a + a2 = -1.333333333

The a term is -0.6666666667a.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667a + 0.1111111112 + a2 = -1.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667a + a2 = -1.333333333 + 0.1111111112

Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218
0.1111111112 + -0.6666666667a + a2 = -1.2222222218

Factor a perfect square on the left side:
(a + -0.3333333334)(a + -0.3333333334) = -1.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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