(5d^2-2d^5)(3d^3-h+4d^2)=0

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Solution for (5d^2-2d^5)(3d^3-h+4d^2)=0 equation: 


Simplifying
(5d2 + -2d5)(3d3 + -1h + 4d2) = 0

Reorder the terms:
(5d2 + -2d5)(4d2 + 3d3 + -1h) = 0

Multiply (5d2 + -2d5) * (4d2 + 3d3 + -1h)
(5d2 * (4d2 + 3d3 + -1h) + -2d5 * (4d2 + 3d3 + -1h)) = 0
((4d2 * 5d2 + 3d3 * 5d2 + -1h * 5d2) + -2d5 * (4d2 + 3d3 + -1h)) = 0

Reorder the terms:
((-5d2h + 20d4 + 15d5) + -2d5 * (4d2 + 3d3 + -1h)) = 0
((-5d2h + 20d4 + 15d5) + -2d5 * (4d2 + 3d3 + -1h)) = 0
(-5d2h + 20d4 + 15d5 + (4d2 * -2d5 + 3d3 * -2d5 + -1h * -2d5)) = 0

Reorder the terms:
(-5d2h + 20d4 + 15d5 + (2d5h + -8d7 + -6d8)) = 0
(-5d2h + 20d4 + 15d5 + (2d5h + -8d7 + -6d8)) = 0
(-5d2h + 20d4 + 15d5 + 2d5h + -8d7 + -6d8) = 0

Solving
-5d2h + 20d4 + 15d5 + 2d5h + -8d7 + -6d8 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd2'.
d2(-5h + 20d2 + 15d3 + 2d3h + -8d5 + -6d6) = 0


Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve:

Simplifying
d2 = 0

Solving
d2 = 0

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

Simplifying
d2 = 0

Take the square root of each side:
d = {0}

Subproblem 2
Set the factor '(-5h + 20d2 + 15d3 + 2d3h + -8d5 + -6d6)' equal to zero and attempt to solve:

Simplifying
-5h + 20d2 + 15d3 + 2d3h + -8d5 + -6d6 = 0

Reorder the terms:
20d2 + 15d3 + 2d3h + -8d5 + -6d6 + -5h = 0

Solving
20d2 + 15d3 + 2d3h + -8d5 + -6d6 + -5h = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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