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Simplifying 2sqrt(2 + -3x) = 2xsqrt(5) (2 * 2qrst + -3x * 2qrst) = 2xsqrt(5) (4qrst + -6qrstx) = 2xsqrt(5) Reorder the terms for easier multiplication: 4qrst + -6qrstx = 2 * 5qrstx Multiply 2 * 5 4qrst + -6qrstx = 10qrstx Solving 4qrst + -6qrstx = 10qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10qrstx' to each side of the equation. 4qrst + -6qrstx + -10qrstx = 10qrstx + -10qrstx Combine like terms: -6qrstx + -10qrstx = -16qrstx 4qrst + -16qrstx = 10qrstx + -10qrstx Combine like terms: 10qrstx + -10qrstx = 0 4qrst + -16qrstx = 0 Factor out the Greatest Common Factor (GCF), '4qrst'. 4qrst(1 + -4x) = 0 Ignore the factor 4.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 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Add '4x' to each side of the equation. -4x + 4x = -1 + 4x Combine like terms: -4x + 4x = 0 0 = -1 + 4x Simplifying 0 = -1 + 4x 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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