(7a^2-3b^2+10)-(-2a^2+b^2-12)=

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Solution for (7a^2-3b^2+10)-(-2a^2+b^2-12)= equation: 


Simplifying
(7a2 + -3b2 + 10) + -1(-2a2 + b2 + -12) = 0

Reorder the terms:
(10 + 7a2 + -3b2) + -1(-2a2 + b2 + -12) = 0

Remove parenthesis around (10 + 7a2 + -3b2)
10 + 7a2 + -3b2 + -1(-2a2 + b2 + -12) = 0

Reorder the terms:
10 + 7a2 + -3b2 + -1(-12 + -2a2 + b2) = 0
10 + 7a2 + -3b2 + (-12 * -1 + -2a2 * -1 + b2 * -1) = 0
10 + 7a2 + -3b2 + (12 + 2a2 + -1b2) = 0

Reorder the terms:
10 + 12 + 7a2 + 2a2 + -3b2 + -1b2 = 0

Combine like terms: 10 + 12 = 22
22 + 7a2 + 2a2 + -3b2 + -1b2 = 0

Combine like terms: 7a2 + 2a2 = 9a2
22 + 9a2 + -3b2 + -1b2 = 0

Combine like terms: -3b2 + -1b2 = -4b2
22 + 9a2 + -4b2 = 0

Solving
22 + 9a2 + -4b2 = 0

Solving for variable 'a'.

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

Add '-22' to each side of the equation.
22 + 9a2 + -22 + -4b2 = 0 + -22

Reorder the terms:
22 + -22 + 9a2 + -4b2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 9a2 + -4b2 = 0 + -22
9a2 + -4b2 = 0 + -22

Combine like terms: 0 + -22 = -22
9a2 + -4b2 = -22

Add '4b2' to each side of the equation.
9a2 + -4b2 + 4b2 = -22 + 4b2

Combine like terms: -4b2 + 4b2 = 0
9a2 + 0 = -22 + 4b2
9a2 = -22 + 4b2

Divide each side by '9'.
a2 = -2.444444444 + 0.4444444444b2

Simplifying
a2 = -2.444444444 + 0.4444444444b2

Reorder the terms:
2.444444444 + a2 + -0.4444444444b2 = -2.444444444 + 0.4444444444b2 + 2.444444444 + -0.4444444444b2

Reorder the terms:
2.444444444 + a2 + -0.4444444444b2 = -2.444444444 + 2.444444444 + 0.4444444444b2 + -0.4444444444b2

Combine like terms: -2.444444444 + 2.444444444 = 0.000000000
2.444444444 + a2 + -0.4444444444b2 = 0.000000000 + 0.4444444444b2 + -0.4444444444b2
2.444444444 + a2 + -0.4444444444b2 = 0.4444444444b2 + -0.4444444444b2

Combine like terms: 0.4444444444b2 + -0.4444444444b2 = 0.0000000000
2.444444444 + a2 + -0.4444444444b2 = 0.0000000000

The solution to this equation could not be determined.

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