2q^2+3p^2=186.51

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Solution for 2q^2+3p^2=186.51 equation: 


Simplifying
2q2 + 3p2 = 186.51

Reorder the terms:
3p2 + 2q2 = 186.51

Solving
3p2 + 2q2 = 186.51

Solving for variable 'p'.

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

Add '-2q2' to each side of the equation.
3p2 + 2q2 + -2q2 = 186.51 + -2q2

Combine like terms: 2q2 + -2q2 = 0
3p2 + 0 = 186.51 + -2q2
3p2 = 186.51 + -2q2

Divide each side by '3'.
p2 = 62.17 + -0.6666666667q2

Simplifying
p2 = 62.17 + -0.6666666667q2

Reorder the terms:
-62.17 + p2 + 0.6666666667q2 = 62.17 + -0.6666666667q2 + -62.17 + 0.6666666667q2

Reorder the terms:
-62.17 + p2 + 0.6666666667q2 = 62.17 + -62.17 + -0.6666666667q2 + 0.6666666667q2

Combine like terms: 62.17 + -62.17 = 0.00
-62.17 + p2 + 0.6666666667q2 = 0.00 + -0.6666666667q2 + 0.6666666667q2
-62.17 + p2 + 0.6666666667q2 = -0.6666666667q2 + 0.6666666667q2

Combine like terms: -0.6666666667q2 + 0.6666666667q2 = 0.0000000000
-62.17 + p2 + 0.6666666667q2 = 0.0000000000

The solution to this equation could not be determined.

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