Sqrt(y^2+4)=sqrt(4y)

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Solution for Sqrt(y^2+4)=sqrt(4y) equation:


Simplifying
Sqrt(y2 + 4) = sqrt(4y)

Reorder the terms:
qrtS(4 + y2) = sqrt(4y)
(4 * qrtS + y2 * qrtS) = sqrt(4y)
(4qrtS + qrty2S) = sqrt(4y)

Remove parenthesis around (4y)
4qrtS + qrty2S = qrst * 4y

Reorder the terms for easier multiplication:
4qrtS + qrty2S = 4qrst * y

Multiply qrst * y
4qrtS + qrty2S = 4qrsty

Solving
4qrtS + qrty2S = 4qrsty

Solving for variable 'q'.

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

Add '-4qrsty' to each side of the equation.
4qrtS + -4qrsty + qrty2S = 4qrsty + -4qrsty

Reorder the terms:
-4qrsty + 4qrtS + qrty2S = 4qrsty + -4qrsty

Combine like terms: 4qrsty + -4qrsty = 0
-4qrsty + 4qrtS + qrty2S = 0

Factor out the Greatest Common Factor (GCF), 'qrt'.
qrt(-4sy + 4S + y2S) = 0

Subproblem 1

Set the factor 'qrt' equal to zero and attempt to solve: Simplifying qrt = 0 Solving qrt = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrt = 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 '(-4sy + 4S + y2S)' equal to zero and attempt to solve: Simplifying -4sy + 4S + y2S = 0 Reorder the terms: 4S + -4sy + y2S = 0 Solving 4S + -4sy + y2S = 0 Move all terms containing q to the left, all other terms to the right. Add '-4S' to each side of the equation. 4S + -4sy + -4S + y2S = 0 + -4S Reorder the terms: 4S + -4S + -4sy + y2S = 0 + -4S Combine like terms: 4S + -4S = 0 0 + -4sy + y2S = 0 + -4S -4sy + y2S = 0 + -4S Remove the zero: -4sy + y2S = -4S Add '4sy' to each side of the equation. -4sy + 4sy + y2S = -4S + 4sy Combine like terms: -4sy + 4sy = 0 0 + y2S = -4S + 4sy y2S = -4S + 4sy Add '-1y2S' to each side of the equation. y2S + -1y2S = -4S + 4sy + -1y2S Combine like terms: y2S + -1y2S = 0 0 = -4S + 4sy + -1y2S Simplifying 0 = -4S + 4sy + -1y2S 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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