20d^2-11d-5=-2

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Solution for 20d^2-11d-5=-2 equation:


Simplifying
20d2 + -11d + -5 = -2

Reorder the terms:
-5 + -11d + 20d2 = -2

Solving
-5 + -11d + 20d2 = -2

Solving for variable 'd'.

Reorder the terms:
-5 + 2 + -11d + 20d2 = -2 + 2

Combine like terms: -5 + 2 = -3
-3 + -11d + 20d2 = -2 + 2

Combine like terms: -2 + 2 = 0
-3 + -11d + 20d2 = 0

Factor a trinomial.
(-1 + -5d)(3 + -4d) = 0

Subproblem 1

Set the factor '(-1 + -5d)' equal to zero and attempt to solve: Simplifying -1 + -5d = 0 Solving -1 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5d = 0 + 1 -5d = 0 + 1 Combine like terms: 0 + 1 = 1 -5d = 1 Divide each side by '-5'. d = -0.2 Simplifying d = -0.2

Subproblem 2

Set the factor '(3 + -4d)' equal to zero and attempt to solve: Simplifying 3 + -4d = 0 Solving 3 + -4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4d = 0 + -3 -4d = 0 + -3 Combine like terms: 0 + -3 = -3 -4d = -3 Divide each side by '-4'. d = 0.75 Simplifying d = 0.75

Solution

d = {-0.2, 0.75}

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