(4v^2+12p^2+9)+(6v^2-6p^2-6)=

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Solution for (4v^2+12p^2+9)+(6v^2-6p^2-6)= equation: 


Simplifying
(4v2 + 12p2 + 9) + (6v2 + -6p2 + -6) = 0

Reorder the terms:
(9 + 12p2 + 4v2) + (6v2 + -6p2 + -6) = 0

Remove parenthesis around (9 + 12p2 + 4v2)
9 + 12p2 + 4v2 + (6v2 + -6p2 + -6) = 0

Reorder the terms:
9 + 12p2 + 4v2 + (-6 + -6p2 + 6v2) = 0

Remove parenthesis around (-6 + -6p2 + 6v2)
9 + 12p2 + 4v2 + -6 + -6p2 + 6v2 = 0

Reorder the terms:
9 + -6 + 12p2 + -6p2 + 4v2 + 6v2 = 0

Combine like terms: 9 + -6 = 3
3 + 12p2 + -6p2 + 4v2 + 6v2 = 0

Combine like terms: 12p2 + -6p2 = 6p2
3 + 6p2 + 4v2 + 6v2 = 0

Combine like terms: 4v2 + 6v2 = 10v2
3 + 6p2 + 10v2 = 0

Solving
3 + 6p2 + 10v2 = 0

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + 6p2 + -3 + 10v2 = 0 + -3

Reorder the terms:
3 + -3 + 6p2 + 10v2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 6p2 + 10v2 = 0 + -3
6p2 + 10v2 = 0 + -3

Combine like terms: 0 + -3 = -3
6p2 + 10v2 = -3

Add '-10v2' to each side of the equation.
6p2 + 10v2 + -10v2 = -3 + -10v2

Combine like terms: 10v2 + -10v2 = 0
6p2 + 0 = -3 + -10v2
6p2 = -3 + -10v2

Divide each side by '6'.
p2 = -0.5 + -1.666666667v2

Simplifying
p2 = -0.5 + -1.666666667v2

Reorder the terms:
0.5 + p2 + 1.666666667v2 = -0.5 + -1.666666667v2 + 0.5 + 1.666666667v2

Reorder the terms:
0.5 + p2 + 1.666666667v2 = -0.5 + 0.5 + -1.666666667v2 + 1.666666667v2

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + p2 + 1.666666667v2 = 0.0 + -1.666666667v2 + 1.666666667v2
0.5 + p2 + 1.666666667v2 = -1.666666667v2 + 1.666666667v2

Combine like terms: -1.666666667v2 + 1.666666667v2 = 0.000000000
0.5 + p2 + 1.666666667v2 = 0.000000000

The solution to this equation could not be determined.

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