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Simplifying 2x + 1 = -3 + 2sqrt(x + 4) Reorder the terms: 1 + 2x = -3 + 2sqrt(x + 4) Reorder the terms: 1 + 2x = -3 + 2qrst(4 + x) 1 + 2x = -3 + (4 * 2qrst + x * 2qrst) 1 + 2x = -3 + (8qrst + 2qrstx) Solving 1 + 2x = -3 + 8qrst + 2qrstx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2qrstx' to each side of the equation. 1 + -2qrstx + 2x = -3 + 8qrst + 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 1 + -2qrstx + 2x = -3 + 8qrst + 0 1 + -2qrstx + 2x = -3 + 8qrst Add '-1' to each side of the equation. 1 + -2qrstx + -1 + 2x = -3 + -1 + 8qrst Reorder the terms: 1 + -1 + -2qrstx + 2x = -3 + -1 + 8qrst Combine like terms: 1 + -1 = 0 0 + -2qrstx + 2x = -3 + -1 + 8qrst -2qrstx + 2x = -3 + -1 + 8qrst Combine like terms: -3 + -1 = -4 -2qrstx + 2x = -4 + 8qrst Reorder the terms: 4 + -8qrst + -2qrstx + 2x = -4 + 8qrst + 4 + -8qrst Reorder the terms: 4 + -8qrst + -2qrstx + 2x = -4 + 4 + 8qrst + -8qrst Combine like terms: -4 + 4 = 0 4 + -8qrst + -2qrstx + 2x = 0 + 8qrst + -8qrst 4 + -8qrst + -2qrstx + 2x = 8qrst + -8qrst Combine like terms: 8qrst + -8qrst = 0 4 + -8qrst + -2qrstx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -4qrst + -1qrstx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -4qrst + -1qrstx + x)' equal to zero and attempt to solve: Simplifying 2 + -4qrst + -1qrstx + x = 0 Solving 2 + -4qrst + -1qrstx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4qrst + -1qrstx + -2 + x = 0 + -2 Reorder the terms: 2 + -2 + -4qrst + -1qrstx + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4qrst + -1qrstx + x = 0 + -2 -4qrst + -1qrstx + x = 0 + -2 Combine like terms: 0 + -2 = -2 -4qrst + -1qrstx + x = -2 Add '4qrst' to each side of the equation. -4qrst + -1qrstx + 4qrst + x = -2 + 4qrst Reorder the terms: -4qrst + 4qrst + -1qrstx + x = -2 + 4qrst Combine like terms: -4qrst + 4qrst = 0 0 + -1qrstx + x = -2 + 4qrst -1qrstx + x = -2 + 4qrst 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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