=sqrt(81+162t^2+81t^4)

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Solution for =sqrt(81+162t^2+81t^4) equation:


Simplifying
0 = sqrt(81 + 162t2 + 81t4)
0 = (81 * qrst + 162t2 * qrst + 81t4 * qrst)
0 = (81qrst + 162qrst3 + 81qrst5)

Solving
0 = 81qrst + 162qrst3 + 81qrst5

Solving for variable 'q'.

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

Add '-81qrst' to each side of the equation.
0 + -81qrst = 81qrst + 162qrst3 + -81qrst + 81qrst5
Remove the zero:
-81qrst = 81qrst + 162qrst3 + -81qrst + 81qrst5

Reorder the terms:
-81qrst = 81qrst + -81qrst + 162qrst3 + 81qrst5

Combine like terms: 81qrst + -81qrst = 0
-81qrst = 0 + 162qrst3 + 81qrst5
-81qrst = 162qrst3 + 81qrst5

Add '-162qrst3' to each side of the equation.
-81qrst + -162qrst3 = 162qrst3 + -162qrst3 + 81qrst5

Combine like terms: 162qrst3 + -162qrst3 = 0
-81qrst + -162qrst3 = 0 + 81qrst5
-81qrst + -162qrst3 = 81qrst5

Add '-81qrst5' to each side of the equation.
-81qrst + -162qrst3 + -81qrst5 = 81qrst5 + -81qrst5

Combine like terms: 81qrst5 + -81qrst5 = 0
-81qrst + -162qrst3 + -81qrst5 = 0

Factor out the Greatest Common Factor (GCF), '-81qrst'.
-81qrst(1 + 2t2 + t4) = 0

Factor a trinomial.
-81qrst((1 + t2)(1 + t2)) = 0

Ignore the factor -81.

Subproblem 1

Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 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 '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Add '-1t2' to each side of the equation. t2 + -1t2 = -1 + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -1 + -1t2 Simplifying 0 = -1 + -1t2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Add '-1t2' to each side of the equation. t2 + -1t2 = -1 + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -1 + -1t2 Simplifying 0 = -1 + -1t2 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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