6sqrt(t)=sqrt(3t+3)

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Solution for 6sqrt(t)=sqrt(3t+3) equation:


Simplifying
6sqrt(t) = sqrt(3t + 3)

Multiply qrst * t
6qrst2 = sqrt(3t + 3)

Reorder the terms:
6qrst2 = qrst(3 + 3t)
6qrst2 = (3 * qrst + 3t * qrst)
6qrst2 = (3qrst + 3qrst2)

Solving
6qrst2 = 3qrst + 3qrst2

Solving for variable 'q'.

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

Add '-3qrst' to each side of the equation.
-3qrst + 6qrst2 = 3qrst + -3qrst + 3qrst2

Combine like terms: 3qrst + -3qrst = 0
-3qrst + 6qrst2 = 0 + 3qrst2
-3qrst + 6qrst2 = 3qrst2

Add '-3qrst2' to each side of the equation.
-3qrst + 6qrst2 + -3qrst2 = 3qrst2 + -3qrst2

Combine like terms: 6qrst2 + -3qrst2 = 3qrst2
-3qrst + 3qrst2 = 3qrst2 + -3qrst2

Combine like terms: 3qrst2 + -3qrst2 = 0
-3qrst + 3qrst2 = 0

Factor out the Greatest Common Factor (GCF), '3qrst'.
3qrst(-1 + t) = 0

Ignore the factor 3.

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 + t)' equal to zero and attempt to solve: Simplifying -1 + t = 0 Solving -1 + t = 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 + t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + t = 0 + 1 t = 0 + 1 Combine like terms: 0 + 1 = 1 t = 1 Add '-1t' to each side of the equation. t + -1t = 1 + -1t Combine like terms: t + -1t = 0 0 = 1 + -1t Simplifying 0 = 1 + -1t 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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