-d(2d-1p)(-3d-p)=

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Solution for -d(2d-1p)(-3d-p)= equation: 


Simplifying
-1d(2d + -1p)(-3d + -1p) = 0

Multiply (2d + -1p) * (-3d + -1p)
-1d(2d * (-3d + -1p) + -1p * (-3d + -1p)) = 0
-1d((-3d * 2d + -1p * 2d) + -1p * (-3d + -1p)) = 0

Reorder the terms:
-1d((-2dp + -6d2) + -1p * (-3d + -1p)) = 0
-1d((-2dp + -6d2) + -1p * (-3d + -1p)) = 0
-1d(-2dp + -6d2 + (-3d * -1p + -1p * -1p)) = 0
-1d(-2dp + -6d2 + (3dp + 1p2)) = 0

Reorder the terms:
-1d(-2dp + 3dp + -6d2 + 1p2) = 0

Combine like terms: -2dp + 3dp = 1dp
-1d(1dp + -6d2 + 1p2) = 0
(1dp * -1d + -6d2 * -1d + 1p2 * -1d) = 0

Reorder the terms:
(-1dp2 + -1d2p + 6d3) = 0
(-1dp2 + -1d2p + 6d3) = 0

Solving
-1dp2 + -1d2p + 6d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(-1p2 + -1dp + 6d2) = 0

Factor a trinomial.
d((-1p + -3d)(p + -2d)) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-1p + -3d)' equal to zero and attempt to solve:

Simplifying
-1p + -3d = 0

Reorder the terms:
-3d + -1p = 0

Solving
-3d + -1p = 0

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

Add 'p' to each side of the equation.
-3d + -1p + p = 0 + p

Combine like terms: -1p + p = 0
-3d + 0 = 0 + p
-3d = 0 + p
Remove the zero:
-3d = p

Divide each side by '-3'.
d = -0.3333333333p

Simplifying
d = -0.3333333333p

Subproblem 3
Set the factor '(p + -2d)' equal to zero and attempt to solve:

Simplifying
p + -2d = 0

Reorder the terms:
-2d + p = 0

Solving
-2d + p = 0

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

Add '-1p' to each side of the equation.
-2d + p + -1p = 0 + -1p

Combine like terms: p + -1p = 0
-2d + 0 = 0 + -1p
-2d = 0 + -1p
Remove the zero:
-2d = -1p

Divide each side by '-2'.
d = 0.5p

Simplifying
d = 0.5p
Solution
d = {0, -0.3333333333p, 0.5p}

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