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Simplifying 3x = 2sqrt(2x) Remove parenthesis around (2x) 3x = 2qrst * 2x Reorder the terms for easier multiplication: 3x = 2 * 2qrst * x Multiply 2 * 2 3x = 4qrst * x Multiply qrst * x 3x = 4qrstx Solving 3x = 4qrstx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4qrstx' to each side of the equation. -4qrstx + 3x = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 -4qrstx + 3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4qrst + 3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-4qrst + 3)' equal to zero and attempt to solve: Simplifying -4qrst + 3 = 0 Reorder the terms: 3 + -4qrst = 0 Solving 3 + -4qrst = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4qrst = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4qrst = 0 + -3 -4qrst = 0 + -3 Combine like terms: 0 + -3 = -3 -4qrst = -3 Add '4qrst' to each side of the equation. -4qrst + 4qrst = -3 + 4qrst Combine like terms: -4qrst + 4qrst = 0 0 = -3 + 4qrst Simplifying 0 = -3 + 4qrst The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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