SQRT(2SQRT(22x+5))=SQRT(5x+4)

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Solution for SQRT(2SQRT(22x+5))=SQRT(5x+4) equation:


Simplifying
SQRT(2SQRT(22x + 5)) = SQRT(5x + 4)

Reorder the terms:
QRST(2QRST(5 + 22x)) = SQRT(5x + 4)
QRST((5 * 2QRST + 22x * 2QRST)) = SQRT(5x + 4)
QRST((10QRST + 44xQRST)) = SQRT(5x + 4)
(10QRST * QRST + 44xQRST * QRST) = SQRT(5x + 4)
(10Q2R2S2T2 + 44xQ2R2S2T2) = SQRT(5x + 4)

Reorder the terms:
10Q2R2S2T2 + 44xQ2R2S2T2 = QRST(4 + 5x)
10Q2R2S2T2 + 44xQ2R2S2T2 = (4 * QRST + 5x * QRST)
10Q2R2S2T2 + 44xQ2R2S2T2 = (4QRST + 5xQRST)

Solving
10Q2R2S2T2 + 44xQ2R2S2T2 = 4QRST + 5xQRST

Solving for variable 'Q'.

Reorder the terms:
-4QRST + 10Q2R2S2T2 + -5xQRST + 44xQ2R2S2T2 = 4QRST + 5xQRST + -4QRST + -5xQRST

Reorder the terms:
-4QRST + 10Q2R2S2T2 + -5xQRST + 44xQ2R2S2T2 = 4QRST + -4QRST + 5xQRST + -5xQRST

Combine like terms: 4QRST + -4QRST = 0
-4QRST + 10Q2R2S2T2 + -5xQRST + 44xQ2R2S2T2 = 0 + 5xQRST + -5xQRST
-4QRST + 10Q2R2S2T2 + -5xQRST + 44xQ2R2S2T2 = 5xQRST + -5xQRST

Combine like terms: 5xQRST + -5xQRST = 0
-4QRST + 10Q2R2S2T2 + -5xQRST + 44xQ2R2S2T2 = 0

Factor out the Greatest Common Factor (GCF), 'QRST'.
QRST(-4 + 10QRST + -5x + 44xQRST) = 0

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 '(-4 + 10QRST + -5x + 44xQRST)' equal to zero and attempt to solve: Simplifying -4 + 10QRST + -5x + 44xQRST = 0 Solving -4 + 10QRST + -5x + 44xQRST = 0 Move all terms containing Q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 10QRST + -5x + 4 + 44xQRST = 0 + 4 Reorder the terms: -4 + 4 + 10QRST + -5x + 44xQRST = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 10QRST + -5x + 44xQRST = 0 + 4 10QRST + -5x + 44xQRST = 0 + 4 Combine like terms: 0 + 4 = 4 10QRST + -5x + 44xQRST = 4 Add '5x' to each side of the equation. 10QRST + -5x + 5x + 44xQRST = 4 + 5x Combine like terms: -5x + 5x = 0 10QRST + 0 + 44xQRST = 4 + 5x 10QRST + 44xQRST = 4 + 5x 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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