12D^3+22D^2-70D=

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Solution for 12D^3+22D^2-70D= equation:


Simplifying
12D3 + 22D2 + -70D = 0

Reorder the terms:
-70D + 22D2 + 12D3 = 0

Solving
-70D + 22D2 + 12D3 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), '2D'.
2D(-35 + 11D + 6D2) = 0

Factor a trinomial.
2D((-7 + -2D)(5 + -3D)) = 0

Ignore the factor 2.

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 + -2D)' equal to zero and attempt to solve: Simplifying -7 + -2D = 0 Solving -7 + -2D = 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 + -2D = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2D = 0 + 7 -2D = 0 + 7 Combine like terms: 0 + 7 = 7 -2D = 7 Divide each side by '-2'. D = -3.5 Simplifying D = -3.5

Subproblem 3

Set the factor '(5 + -3D)' equal to zero and attempt to solve: Simplifying 5 + -3D = 0 Solving 5 + -3D = 0 Move all terms containing D to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3D = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3D = 0 + -5 -3D = 0 + -5 Combine like terms: 0 + -5 = -5 -3D = -5 Divide each side by '-3'. D = 1.666666667 Simplifying D = 1.666666667

Solution

D = {0, -3.5, 1.666666667}

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