3d(4d+7)=

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Solution for 3d(4d+7)= equation: 


Simplifying
3d(4d + 7) = 0

Reorder the terms:
3d(7 + 4d) = 0
(7 * 3d + 4d * 3d) = 0
(21d + 12d2) = 0

Solving
21d + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3d'.
3d(7 + 4d) = 0

Ignore the factor 3.

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 '(7 + 4d)' equal to zero and attempt to solve:

Simplifying
7 + 4d = 0

Solving
7 + 4d = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4d = 0 + -7
4d = 0 + -7

Combine like terms: 0 + -7 = -7
4d = -7

Divide each side by '4'.
d = -1.75

Simplifying
d = -1.75
Solution
d = {0, -1.75}

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