6d^2+20d-16=

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Solution for 6d^2+20d-16= equation:


Simplifying
6d2 + 20d + -16 = 0

Reorder the terms:
-16 + 20d + 6d2 = 0

Solving
-16 + 20d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 10d + 3d2) = 0

Factor a trinomial.
2((-4 + -1d)(2 + -3d)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1d)' equal to zero and attempt to solve: Simplifying -4 + -1d = 0 Solving -4 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1d = 0 + 4 -1d = 0 + 4 Combine like terms: 0 + 4 = 4 -1d = 4 Divide each side by '-1'. d = -4 Simplifying d = -4

Subproblem 2

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

Solution

d = {-4, 0.6666666667}

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