15d^2+3=14d

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Solution for 15d^2+3=14d equation:


Simplifying
15d2 + 3 = 14d

Reorder the terms:
3 + 15d2 = 14d

Solving
3 + 15d2 = 14d

Solving for variable 'd'.

Reorder the terms:
3 + -14d + 15d2 = 14d + -14d

Combine like terms: 14d + -14d = 0
3 + -14d + 15d2 = 0

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

Subproblem 1

Set the factor '(1 + -3d)' equal to zero and attempt to solve: Simplifying 1 + -3d = 0 Solving 1 + -3d = 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 + -3d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3d = 0 + -1 -3d = 0 + -1 Combine like terms: 0 + -1 = -1 -3d = -1 Divide each side by '-3'. d = 0.3333333333 Simplifying d = 0.3333333333

Subproblem 2

Set the factor '(3 + -5d)' equal to zero and attempt to solve: Simplifying 3 + -5d = 0 Solving 3 + -5d = 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 + -5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5d = 0 + -3 -5d = 0 + -3 Combine like terms: 0 + -3 = -3 -5d = -3 Divide each side by '-5'. d = 0.6 Simplifying d = 0.6

Solution

d = {0.3333333333, 0.6}

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