.12=(PD-.25*.12)(.12)

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Solution for .12=(PD-.25*.12)(.12) equation:


Simplifying
0.12 = (PD + -0.25 * 0.12)(0.12)

Multiply -0.25 * 0.12
0.12 = (DP + -0.03)(0.12)

Reorder the terms:
0.12 = (-0.03 + DP)(0.12)

Reorder the terms for easier multiplication:
0.12 = 0.12(-0.03 + DP)
0.12 = (-0.03 * 0.12 + DP * 0.12)
0.12 = (-0.0036 + 0.12DP)

Solving
0.12 = -0.0036 + 0.12DP

Solving for variable 'D'.

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

Add '-0.12DP' to each side of the equation.
0.12 + -0.12DP = -0.0036 + 0.12DP + -0.12DP

Combine like terms: 0.12DP + -0.12DP = 0.00
0.12 + -0.12DP = -0.0036 + 0.00
0.12 + -0.12DP = -0.0036

Add '-0.12' to each side of the equation.
0.12 + -0.12 + -0.12DP = -0.0036 + -0.12

Combine like terms: 0.12 + -0.12 = 0.00
0.00 + -0.12DP = -0.0036 + -0.12
-0.12DP = -0.0036 + -0.12

Combine like terms: -0.0036 + -0.12 = -0.1236
-0.12DP = -0.1236

Divide each side by '-0.12P'.
D = 1.03P-1

Simplifying
D = 1.03P-1

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