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Simplifying 4sqrt(3x) = 16sqrt(3) Remove parenthesis around (3x) 4qrst * 3x = 16sqrt(3) Reorder the terms for easier multiplication: 4 * 3qrst * x = 16sqrt(3) Multiply 4 * 3 12qrst * x = 16sqrt(3) Multiply qrst * x 12qrstx = 16sqrt(3) Reorder the terms for easier multiplication: 12qrstx = 16 * 3qrst Multiply 16 * 3 12qrstx = 48qrst Solving 12qrstx = 48qrst Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-48qrst' to each side of the equation. -48qrst + 12qrstx = 48qrst + -48qrst Combine like terms: 48qrst + -48qrst = 0 -48qrst + 12qrstx = 0 Factor out the Greatest Common Factor (GCF), '12qrst'. 12qrst(-4 + x) = 0 Ignore the factor 12.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 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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