12d^2-13dv-35v^2=0

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Solution for 12d^2-13dv-35v^2=0 equation:


Simplifying
12d2 + -13dv + -35v2 = 0

Reorder the terms:
-13dv + 12d2 + -35v2 = 0

Solving
-13dv + 12d2 + -35v2 = 0

Solving for variable 'd'.

Factor a trinomial.
(3d + -7v)(4d + 5v) = 0

Subproblem 1

Set the factor '(3d + -7v)' equal to zero and attempt to solve: Simplifying 3d + -7v = 0 Solving 3d + -7v = 0 Move all terms containing d to the left, all other terms to the right. Add '7v' to each side of the equation. 3d + -7v + 7v = 0 + 7v Combine like terms: -7v + 7v = 0 3d + 0 = 0 + 7v 3d = 0 + 7v Remove the zero: 3d = 7v Divide each side by '3'. d = 2.333333333v Simplifying d = 2.333333333v

Subproblem 2

Set the factor '(4d + 5v)' equal to zero and attempt to solve: Simplifying 4d + 5v = 0 Solving 4d + 5v = 0 Move all terms containing d to the left, all other terms to the right. Add '-5v' to each side of the equation. 4d + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 4d + 0 = 0 + -5v 4d = 0 + -5v Remove the zero: 4d = -5v Divide each side by '4'. d = -1.25v Simplifying d = -1.25v

Solution

d = {2.333333333v, -1.25v}

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