3P+Q^2+5Q-102=0

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Solution for 3P+Q^2+5Q-102=0 equation: 


Simplifying
3P + Q2 + 5Q + -102 = 0

Reorder the terms:
-102 + 3P + 5Q + Q2 = 0

Solving
-102 + 3P + 5Q + Q2 = 0

Solving for variable 'P'.

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

Add '102' to each side of the equation.
-102 + 3P + 5Q + 102 + Q2 = 0 + 102

Reorder the terms:
-102 + 102 + 3P + 5Q + Q2 = 0 + 102

Combine like terms: -102 + 102 = 0
0 + 3P + 5Q + Q2 = 0 + 102
3P + 5Q + Q2 = 0 + 102

Combine like terms: 0 + 102 = 102
3P + 5Q + Q2 = 102

Add '-5Q' to each side of the equation.
3P + 5Q + -5Q + Q2 = 102 + -5Q

Combine like terms: 5Q + -5Q = 0
3P + 0 + Q2 = 102 + -5Q
3P + Q2 = 102 + -5Q

Add '-1Q2' to each side of the equation.
3P + Q2 + -1Q2 = 102 + -5Q + -1Q2

Combine like terms: Q2 + -1Q2 = 0
3P + 0 = 102 + -5Q + -1Q2
3P = 102 + -5Q + -1Q2

Divide each side by '3'.
P = 34 + -1.666666667Q + -0.3333333333Q2

Simplifying
P = 34 + -1.666666667Q + -0.3333333333Q2

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