(-2d^2+s)(5d^2-6s)=0

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Solution for (-2d^2+s)(5d^2-6s)=0 equation: 


Simplifying
(-2d2 + s)(5d2 + -6s) = 0

Multiply (-2d2 + s) * (5d2 + -6s)
(-2d2 * (5d2 + -6s) + s(5d2 + -6s)) = 0
((5d2 * -2d2 + -6s * -2d2) + s(5d2 + -6s)) = 0

Reorder the terms:
((12d2s + -10d4) + s(5d2 + -6s)) = 0
((12d2s + -10d4) + s(5d2 + -6s)) = 0
(12d2s + -10d4 + (5d2 * s + -6s * s)) = 0
(12d2s + -10d4 + (5d2s + -6s2)) = 0

Reorder the terms:
(12d2s + 5d2s + -10d4 + -6s2) = 0

Combine like terms: 12d2s + 5d2s = 17d2s
(17d2s + -10d4 + -6s2) = 0

Solving
17d2s + -10d4 + -6s2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-2d2 + s)(5d2 + -6s) = 0


Subproblem 1
Set the factor '(-2d2 + s)' equal to zero and attempt to solve:

Simplifying
-2d2 + s = 0

Solving
-2d2 + s = 0

Move all terms containing d to the left, all other terms to the right.

Add '-1s' to each side of the equation.
-2d2 + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
-2d2 + 0 = 0 + -1s
-2d2 = 0 + -1s
Remove the zero:
-2d2 = -1s

Divide each side by '-2'.
d2 = 0.5s

Simplifying
d2 = 0.5s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5d2 + -6s)' equal to zero and attempt to solve:

Simplifying
5d2 + -6s = 0

Solving
5d2 + -6s = 0

Move all terms containing d to the left, all other terms to the right.

Add '6s' to each side of the equation.
5d2 + -6s + 6s = 0 + 6s

Combine like terms: -6s + 6s = 0
5d2 + 0 = 0 + 6s
5d2 = 0 + 6s
Remove the zero:
5d2 = 6s

Divide each side by '5'.
d2 = 1.2s

Simplifying
d2 = 1.2s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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