3sqrt(x)-sqrt(2x-1)=0

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Solution for 3sqrt(x)-sqrt(2x-1)=0 equation:


Simplifying
3sqrt(x) + -1sqrt(2x + -1) = 0

Multiply qrst * x
3qrstx + -1sqrt(2x + -1) = 0

Reorder the terms:
3qrstx + -1qrst(-1 + 2x) = 0
3qrstx + (-1 * -1qrst + 2x * -1qrst) = 0
3qrstx + (1qrst + -2qrstx) = 0

Reorder the terms:
1qrst + 3qrstx + -2qrstx = 0

Combine like terms: 3qrstx + -2qrstx = 1qrstx
1qrst + 1qrstx = 0

Solving
1qrst + 1qrstx = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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