(6x+8us^2)(x-us^2)=0

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Solution for (6x+8us^2)(x-us^2)=0 equation: 


Simplifying
(6x + 8us2)(x + -1us2) = 0

Reorder the terms:
(8s2u + 6x)(x + -1us2) = 0

Reorder the terms:
(8s2u + 6x)(-1s2u + x) = 0

Multiply (8s2u + 6x) * (-1s2u + x)
(8s2u * (-1s2u + x) + 6x * (-1s2u + x)) = 0
((-1s2u * 8s2u + x * 8s2u) + 6x * (-1s2u + x)) = 0

Reorder the terms:
((8s2ux + -8s4u2) + 6x * (-1s2u + x)) = 0
((8s2ux + -8s4u2) + 6x * (-1s2u + x)) = 0
(8s2ux + -8s4u2 + (-1s2u * 6x + x * 6x)) = 0
(8s2ux + -8s4u2 + (-6s2ux + 6x2)) = 0

Reorder the terms:
(8s2ux + -6s2ux + -8s4u2 + 6x2) = 0

Combine like terms: 8s2ux + -6s2ux = 2s2ux
(2s2ux + -8s4u2 + 6x2) = 0

Solving
2s2ux + -8s4u2 + 6x2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(s2ux + -4s4u2 + 3x2) = 0

Factor a trinomial.
2((-4s2u + -3x)(s2u + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4s2u + -3x)' equal to zero and attempt to solve:

Simplifying
-4s2u + -3x = 0

Solving
-4s2u + -3x = 0

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

Add '3x' to each side of the equation.
-4s2u + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-4s2u + 0 = 0 + 3x
-4s2u = 0 + 3x
Remove the zero:
-4s2u = 3x

Divide each side by '-4u'.
s2 = -0.75u-1x

Simplifying
s2 = -0.75u-1x

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 '(s2u + -1x)' equal to zero and attempt to solve:

Simplifying
s2u + -1x = 0

Solving
s2u + -1x = 0

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

Add 'x' to each side of the equation.
s2u + -1x + x = 0 + x

Combine like terms: -1x + x = 0
s2u + 0 = 0 + x
s2u = 0 + x
Remove the zero:
s2u = x

Divide each side by 'u'.
s2 = u-1x

Simplifying
s2 = u-1x

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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