2(sqrt(2x)+2)=sqrt(2x^2)+4

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


Simplifying
2(sqrt(2x) + 2) = sqrt(2x2) + 4

Remove parenthesis around (2x)
2(qrst * 2x + 2) = sqrt(2x2) + 4

Reorder the terms for easier multiplication:
2(2qrst * x + 2) = sqrt(2x2) + 4

Multiply qrst * x
2(2qrstx + 2) = sqrt(2x2) + 4

Reorder the terms:
2(2 + 2qrstx) = sqrt(2x2) + 4
(2 * 2 + 2qrstx * 2) = sqrt(2x2) + 4
(4 + 4qrstx) = sqrt(2x2) + 4

Remove parenthesis around (2x2)
4 + 4qrstx = qrst * 2x2 + 4

Reorder the terms for easier multiplication:
4 + 4qrstx = 2qrst * x2 + 4

Multiply qrst * x2
4 + 4qrstx = 2qrstx2 + 4

Reorder the terms:
4 + 4qrstx = 4 + 2qrstx2

Add '-4' to each side of the equation.
4 + -4 + 4qrstx = 4 + -4 + 2qrstx2

Combine like terms: 4 + -4 = 0
0 + 4qrstx = 4 + -4 + 2qrstx2
4qrstx = 4 + -4 + 2qrstx2

Combine like terms: 4 + -4 = 0
4qrstx = 0 + 2qrstx2
4qrstx = 2qrstx2

Solving
4qrstx = 2qrstx2

Solving for variable 'q'.

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

Add '-2qrstx2' to each side of the equation.
4qrstx + -2qrstx2 = 2qrstx2 + -2qrstx2

Combine like terms: 2qrstx2 + -2qrstx2 = 0
4qrstx + -2qrstx2 = 0

Factor out the Greatest Common Factor (GCF), '2qrstx'.
2qrstx(2 + -1x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'qrstx' equal to zero and attempt to solve: Simplifying qrstx = 0 Solving qrstx = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrstx = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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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