(sqrt-2)(sqrt-32)=

Solution for (sqrt-2)(sqrt-32)= equation:

Simplifying
(sqrt + -2)(sqrt + -32) = 0

Reorder the terms:
(-2 + qrst)(sqrt + -32) = 0

Reorder the terms:
(-2 + qrst)(-32 + qrst) = 0

Multiply (-2 + qrst) * (-32 + qrst)
(-2(-32 + qrst) + qrst(-32 + qrst)) = 0
((-32 * -2 + qrst * -2) + qrst(-32 + qrst)) = 0
((64 + -2qrst) + qrst(-32 + qrst)) = 0
(64 + -2qrst + (-32 * qrst + qrst * qrst)) = 0
(64 + -2qrst + (-32qrst + q2r2s2t2)) = 0

Combine like terms: -2qrst + -32qrst = -34qrst
(64 + -34qrst + q2r2s2t2) = 0

Solving
64 + -34qrst + q2r2s2t2 = 0

Solving for variable 'q'.

Factor a trinomial.
(2 + -1qrst)(32 + -1qrst) = 0

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

Simplifying
2 + -1qrst = 0

Solving
2 + -1qrst = 0

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

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

Combine like terms: 2 + -2 = 0
0 + -1qrst = 0 + -2
-1qrst = 0 + -2

Combine like terms: 0 + -2 = -2
-1qrst = -2

Divide each side by '-1rst'.
q = 2r-1s-1t-1

Simplifying
q = 2r-1s-1t-1
Subproblem 2
Set the factor '(32 + -1qrst)' equal to zero and attempt to solve:

Simplifying
32 + -1qrst = 0

Solving
32 + -1qrst = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1qrst = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1qrst = 0 + -32
-1qrst = 0 + -32

Combine like terms: 0 + -32 = -32
-1qrst = -32

Divide each side by '-1rst'.
q = 32r-1s-1t-1

Simplifying
q = 32r-1s-1t-1
Solution
q = {2r-1s-1t-1, 32r-1s-1t-1}