(3d+6)(5d-7)(4d-3)=0

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Solution for (3d+6)(5d-7)(4d-3)=0 equation: 


Simplifying
(3d + 6)(5d + -7)(4d + -3) = 0

Reorder the terms:
(6 + 3d)(5d + -7)(4d + -3) = 0

Reorder the terms:
(6 + 3d)(-7 + 5d)(4d + -3) = 0

Reorder the terms:
(6 + 3d)(-7 + 5d)(-3 + 4d) = 0

Multiply (6 + 3d) * (-7 + 5d)
(6(-7 + 5d) + 3d * (-7 + 5d))(-3 + 4d) = 0
((-7 * 6 + 5d * 6) + 3d * (-7 + 5d))(-3 + 4d) = 0
((-42 + 30d) + 3d * (-7 + 5d))(-3 + 4d) = 0
(-42 + 30d + (-7 * 3d + 5d * 3d))(-3 + 4d) = 0
(-42 + 30d + (-21d + 15d2))(-3 + 4d) = 0

Combine like terms: 30d + -21d = 9d
(-42 + 9d + 15d2)(-3 + 4d) = 0

Multiply (-42 + 9d + 15d2) * (-3 + 4d)
(-42(-3 + 4d) + 9d * (-3 + 4d) + 15d2 * (-3 + 4d)) = 0
((-3 * -42 + 4d * -42) + 9d * (-3 + 4d) + 15d2 * (-3 + 4d)) = 0
((126 + -168d) + 9d * (-3 + 4d) + 15d2 * (-3 + 4d)) = 0
(126 + -168d + (-3 * 9d + 4d * 9d) + 15d2 * (-3 + 4d)) = 0
(126 + -168d + (-27d + 36d2) + 15d2 * (-3 + 4d)) = 0
(126 + -168d + -27d + 36d2 + (-3 * 15d2 + 4d * 15d2)) = 0
(126 + -168d + -27d + 36d2 + (-45d2 + 60d3)) = 0

Combine like terms: -168d + -27d = -195d
(126 + -195d + 36d2 + -45d2 + 60d3) = 0

Combine like terms: 36d2 + -45d2 = -9d2
(126 + -195d + -9d2 + 60d3) = 0

Solving
126 + -195d + -9d2 + 60d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(42 + -65d + -3d2 + 20d3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(42 + -65d + -3d2 + 20d3)' equal to zero and attempt to solve:

Simplifying
42 + -65d + -3d2 + 20d3 = 0

Solving
42 + -65d + -3d2 + 20d3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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