6d^2-13dw-63w^2=

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Solution for 6d^2-13dw-63w^2= equation:


Simplifying
6d2 + -13dw + -63w2 = 0

Reorder the terms:
-13dw + 6d2 + -63w2 = 0

Solving
-13dw + 6d2 + -63w2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2d + -9w)(3d + 7w) = 0

Subproblem 1

Set the factor '(2d + -9w)' equal to zero and attempt to solve: Simplifying 2d + -9w = 0 Solving 2d + -9w = 0 Move all terms containing d to the left, all other terms to the right. Add '9w' to each side of the equation. 2d + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 2d + 0 = 0 + 9w 2d = 0 + 9w Remove the zero: 2d = 9w Divide each side by '2'. d = 4.5w Simplifying d = 4.5w

Subproblem 2

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

Solution

d = {4.5w, -2.333333333w}

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