(u+ys)(7u+2ys)=

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Solution for (u+ys)(7u+2ys)= equation: 


Simplifying
(u + ys)(7u + 2ys) = 0

Reorder the terms:
(sy + u)(7u + 2ys) = 0

Reorder the terms:
(sy + u)(2sy + 7u) = 0

Multiply (sy + u) * (2sy + 7u)
(sy(2sy + 7u) + u(2sy + 7u)) = 0
((2sy * sy + 7u * sy) + u(2sy + 7u)) = 0

Reorder the terms:
((7suy + 2s2y2) + u(2sy + 7u)) = 0
((7suy + 2s2y2) + u(2sy + 7u)) = 0
(7suy + 2s2y2 + (2sy * u + 7u * u)) = 0
(7suy + 2s2y2 + (2suy + 7u2)) = 0

Reorder the terms:
(7suy + 2suy + 2s2y2 + 7u2) = 0

Combine like terms: 7suy + 2suy = 9suy
(9suy + 2s2y2 + 7u2) = 0

Solving
9suy + 2s2y2 + 7u2 = 0

Solving for variable 's'.

Factor a trinomial.
(sy + u)(2sy + 7u) = 0


Subproblem 1
Set the factor '(sy + u)' equal to zero and attempt to solve:

Simplifying
sy + u = 0

Solving
sy + u = 0

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

Add '-1u' to each side of the equation.
sy + u + -1u = 0 + -1u

Combine like terms: u + -1u = 0
sy + 0 = 0 + -1u
sy = 0 + -1u
Remove the zero:
sy = -1u

Divide each side by 'y'.
s = -1uy-1

Simplifying
s = -1uy-1

Subproblem 2
Set the factor '(2sy + 7u)' equal to zero and attempt to solve:

Simplifying
2sy + 7u = 0

Solving
2sy + 7u = 0

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

Add '-7u' to each side of the equation.
2sy + 7u + -7u = 0 + -7u

Combine like terms: 7u + -7u = 0
2sy + 0 = 0 + -7u
2sy = 0 + -7u
Remove the zero:
2sy = -7u

Divide each side by '2y'.
s = -3.5uy-1

Simplifying
s = -3.5uy-1
Solution
s = {-1uy-1, -3.5uy-1}

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