3d^2-19d-14=0

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Solution for 3d^2-19d-14=0 equation: 


Simplifying
3d2 + -19d + -14 = 0

Reorder the terms:
-14 + -19d + 3d2 = 0

Solving
-14 + -19d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-2 + -3d)(7 + -1d) = 0


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

Simplifying
-2 + -3d = 0

Solving
-2 + -3d = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3d = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3d = 0 + 2
-3d = 0 + 2

Combine like terms: 0 + 2 = 2
-3d = 2

Divide each side by '-3'.
d = -0.6666666667

Simplifying
d = -0.6666666667

Subproblem 2
Set the factor '(7 + -1d)' equal to zero and attempt to solve:

Simplifying
7 + -1d = 0

Solving
7 + -1d = 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 + -1d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1d = 0 + -7
-1d = 0 + -7

Combine like terms: 0 + -7 = -7
-1d = -7

Divide each side by '-1'.
d = 7

Simplifying
d = 7
Solution
d = {-0.6666666667, 7}

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