t=sqrt(2-4x^2)

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Solution for t=sqrt(2-4x^2) equation:


Simplifying
t = sqrt(2 + -4x2)
t = (2 * qrst + -4x2 * qrst)
t = (2qrst + -4qrstx2)

Solving
t = 2qrst + -4qrstx2

Solving for variable 't'.

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

Add '-2qrst' to each side of the equation.
-2qrst + t = 2qrst + -2qrst + -4qrstx2

Combine like terms: 2qrst + -2qrst = 0
-2qrst + t = 0 + -4qrstx2
-2qrst + t = -4qrstx2

Add '4qrstx2' to each side of the equation.
-2qrst + 4qrstx2 + t = -4qrstx2 + 4qrstx2

Combine like terms: -4qrstx2 + 4qrstx2 = 0
-2qrst + 4qrstx2 + t = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-2qrs + 4qrsx2 + 1) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(-2qrs + 4qrsx2 + 1)' equal to zero and attempt to solve: Simplifying -2qrs + 4qrsx2 + 1 = 0 Reorder the terms: 1 + -2qrs + 4qrsx2 = 0 Solving 1 + -2qrs + 4qrsx2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2qrs + -1 + 4qrsx2 = 0 + -1 Reorder the terms: 1 + -1 + -2qrs + 4qrsx2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2qrs + 4qrsx2 = 0 + -1 -2qrs + 4qrsx2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2qrs + 4qrsx2 = -1 Add '2qrs' to each side of the equation. -2qrs + 2qrs + 4qrsx2 = -1 + 2qrs Combine like terms: -2qrs + 2qrs = 0 0 + 4qrsx2 = -1 + 2qrs 4qrsx2 = -1 + 2qrs Add '-4qrsx2' to each side of the equation. 4qrsx2 + -4qrsx2 = -1 + 2qrs + -4qrsx2 Combine like terms: 4qrsx2 + -4qrsx2 = 0 0 = -1 + 2qrs + -4qrsx2 Simplifying 0 = -1 + 2qrs + -4qrsx2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

t = {0}

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