=(p-3)(12-0.5P)

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Solution for =(p-3)(12-0.5P) equation:


Simplifying
0 = (p + -3)(12 + -0.5P)

Reorder the terms:
0 = (-3 + p)(12 + -0.5P)

Multiply (-3 + p) * (12 + -0.5P)
0 = (-3(12 + -0.5P) + p(12 + -0.5P))
0 = ((12 * -3 + -0.5P * -3) + p(12 + -0.5P))
0 = ((-36 + 1.5P) + p(12 + -0.5P))
0 = (-36 + 1.5P + (12 * p + -0.5P * p))
0 = (-36 + 1.5P + (12p + -0.5pP))
0 = (-36 + 1.5P + 12p + -0.5pP)

Solving
0 = -36 + 1.5P + 12p + -0.5pP

Solving for variable 'P'.

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

Add '-1.5P' to each side of the equation.
0 + -1.5P = -36 + 1.5P + 12p + -1.5P + -0.5pP
Remove the zero:
-1.5P = -36 + 1.5P + 12p + -1.5P + -0.5pP

Reorder the terms:
-1.5P = -36 + 1.5P + -1.5P + 12p + -0.5pP

Combine like terms: 1.5P + -1.5P = 0.0
-1.5P = -36 + 0.0 + 12p + -0.5pP
-1.5P = -36 + 12p + -0.5pP

Add '0.5pP' to each side of the equation.
-1.5P + 0.5pP = -36 + 12p + -0.5pP + 0.5pP

Combine like terms: -0.5pP + 0.5pP = 0.0
-1.5P + 0.5pP = -36 + 12p + 0.0
-1.5P + 0.5pP = -36 + 12p

Reorder the terms:
36 + -1.5P + -12p + 0.5pP = -36 + 12p + 36 + -12p

Reorder the terms:
36 + -1.5P + -12p + 0.5pP = -36 + 36 + 12p + -12p

Combine like terms: -36 + 36 = 0
36 + -1.5P + -12p + 0.5pP = 0 + 12p + -12p
36 + -1.5P + -12p + 0.5pP = 12p + -12p

Combine like terms: 12p + -12p = 0
36 + -1.5P + -12p + 0.5pP = 0

The solution to this equation could not be determined.

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